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137773264530 = 2351110327114957
BaseRepresentation
bin1000000001001111101…
…1010010111010010010
3111011121122200222221010
42000103323102322102
54224124423431110
6143143035111350
712645102266106
oct2002373227222
9434548628833
10137773264530
115347a4638a0
122284bba2556
13ccb845c545
14694d9d1906
1538b54c3020
hex2013ed2e92

137773264530 has 128 divisors (see below), whose sum is σ = 365585965056. Its totient is φ = 32951059200.

The previous prime is 137773264523. The next prime is 137773264553. The reversal of 137773264530 is 35462377731.

It is a super-2 number, since 2×1377732645302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137773264530.

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 63 ways as a sum of consecutive naturals, for example, 9203812 + ... + 9218768.

It is an arithmetic number, because the mean of its divisors is an integer number (2856140352).

Almost surely, 2137773264530 is an apocalyptic number.

137773264530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137773264530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182792982528).

137773264530 is an abundant number, since it is smaller than the sum of its proper divisors (227812700526).

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

137773264530 is a wasteful number, since it uses less digits than its factorization.

137773264530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15352.

The product of its (nonzero) digits is 2222640, while the sum is 48.

The spelling of 137773264530 in words is "one hundred thirty-seven billion, seven hundred seventy-three million, two hundred sixty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 103 110 165 206 271 309 330 515 542 618 813 1030 1133 1355 1545 1626 2266 2710 2981 3090 3399 4065 5665 5962 6798 8130 8943 11330 14905 14957 16995 17886 27913 29810 29914 33990 44715 44871 55826 74785 83739 89430 89742 139565 149570 164527 167478 224355 279130 307043 329054 418695 448710 493581 614086 822635 837390 921129 987162 1535215 1540571 1645270 1842258 2467905 3070430 3081142 4053347 4605645 4621713 4935810 7702855 8106694 9211290 9243426 12160041 15405710 16946281 20266735 23108565 24320082 33892562 40533470 44586817 46217130 50838843 60800205 84731405 89173634 101677686 121600410 133760451 169462810 222934085 254194215 267520902 417494741 445868170 508388430 668802255 834989482 1252484223 1337604510 2087473705 2504968446 4174947410 4592442151 6262421115 9184884302 12524842230 13777326453 22962210755 27554652906 45924421510 68886632265 137773264530