Search a number
-
+
146085800766 = 23173155318353
BaseRepresentation
bin1000100000001101100…
…1000110101100111110
3111222001222012120221120
42020003121012230332
54343140431111031
6151035541411410
713361066550453
oct2100331065476
9458058176846
10146085800766
1156a55698354
122438ba09b66
1310a1166c539
1470db9b382a
153c00156a96
hex2203646b3e

146085800766 has 64 divisors (see below), whose sum is σ = 319433435136. Its totient is φ = 44339097600.

The previous prime is 146085800759. The next prime is 146085800801. The reversal of 146085800766 is 667008580641.

It is a super-2 number, since 2×1460858007662 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17484846 + ... + 17493198.

It is an arithmetic number, because the mean of its divisors is an integer number (4991147424).

Almost surely, 2146085800766 is an apocalyptic number.

146085800766 is an abundant number, since it is smaller than the sum of its proper divisors (173347634370).

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

146085800766 is a wasteful number, since it uses less digits than its factorization.

146085800766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 146085800766 in words is "one hundred forty-six billion, eighty-five million, eight hundred thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 3162 5531 8353 11062 16593 16706 25059 33186 50118 94027 142001 171461 188054 258943 282081 284002 342922 426003 514383 517886 564162 776829 852006 1028766 1553658 2914837 4402031 5829674 8744511 8804062 13206093 17489022 26412186 46200443 92400886 138601329 277202658 785407531 1432213733 1570815062 2356222593 2864427466 4296641199 4712445186 8593282398 24347633461 48695266922 73042900383 146085800766