Search a number
-
+
252530142318 = 234171929166417
BaseRepresentation
bin1110101100101111111…
…0000010110001101110
3220010211021000101220000
43223023332002301232
513114140204023233
6312002153205130
724146634535656
oct3531376026156
9803737011800
10252530142318
1198108755663
1240b37a007a6
131aa7631301c
14c31886b366
15687eeead13
hex3acbf82c6e

252530142318 has 160 divisors (see below), whose sum is σ = 652425127200. Its totient is φ = 72466845696.

The previous prime is 252530142317. The next prime is 252530142331. The reversal of 252530142318 is 813241035252.

252530142318 is a `hidden beast` number, since 2 + 52 + 530 + 1 + 42 + 31 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252530142311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1434246 + ... + 1600662.

It is an arithmetic number, because the mean of its divisors is an integer number (4077657045).

Almost surely, 2252530142318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252530142318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326212563600).

252530142318 is an abundant number, since it is smaller than the sum of its proper divisors (399894984882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252530142318 is a wasteful number, since it uses less digits than its factorization.

252530142318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166496 (or 166487 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 252530142318 in words is "two hundred fifty-two billion, five hundred thirty million, one hundred forty-two thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 17 18 19 27 29 34 38 51 54 57 58 81 87 102 114 153 162 171 174 261 306 323 342 459 493 513 522 551 646 783 918 969 986 1026 1102 1377 1479 1539 1566 1653 1938 2349 2754 2907 2958 3078 3306 4437 4698 4959 5814 8721 8874 9367 9918 13311 14877 17442 18734 26163 26622 28101 29754 39933 44631 52326 56202 79866 84303 89262 166417 168606 252909 332834 499251 505818 758727 998502 1497753 1517454 2829089 2995506 3161923 4493259 4826093 5658178 6323846 8487267 8986518 9485769 9652186 13479777 14478279 16974534 18971538 25461801 26959554 28457307 28956558 43434837 50923602 53752691 56914614 76385403 82043581 85371921 86869674 91695767 107505382 130304511 152770806 161258073 164087162 170743842 183391534 229156209 246130743 256115763 260609022 275087301 322516146 390913533 458312418 483774219 492261486 512231526 550174602 738392229 781827066 825261903 967548438 1451322657 1476784458 1558828039 1650523806 2215176687 2475785709 2902645314 3117656078 4353967971 4430353374 4676484117 4951571418 6645530061 7427357127 8707935942 9352968234 13291060122 14029452351 14854714254 28058904702 42088357053 84176714106 126265071159 252530142318