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137771920572 = 2231113127962773
BaseRepresentation
bin1000000001001111011…
…0001010110010111100
3111011121120011201100220
42000103312022302330
54224124102424242
6143142550221340
712645055000626
oct2002366126274
9434546151326
10137771920572
1153479726090
122284b654850
13ccb80ab8c0
14694d761c16
1538b5309bec
hex2013d8acbc

137771920572 has 96 divisors (see below), whose sum is σ = 377969786880. Its totient is φ = 38506855680.

The previous prime is 137771920571. The next prime is 137771920619. The reversal of 137771920572 is 275029177731.

It is a super-2 number, since 2×1377719205722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137771920571) by changing a digit.

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, 2163378 + ... + 2226150.

It is an arithmetic number, because the mean of its divisors is an integer number (3937185280).

Almost surely, 2137771920572 is an apocalyptic number.

137771920572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137771920572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188984893440).

137771920572 is an abundant number, since it is smaller than the sum of its proper divisors (240197866308).

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

137771920572 is a wasteful number, since it uses less digits than its factorization.

137771920572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64083 (or 64081 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 51.

The spelling of 137771920572 in words is "one hundred thirty-seven billion, seven hundred seventy-one million, nine hundred twenty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1279 1716 2558 3837 5116 7674 14069 15348 16627 28138 33254 42207 49881 56276 62773 66508 84414 99762 125546 168828 182897 188319 199524 251092 365794 376638 548691 690503 731588 753276 816049 1097382 1381006 1632098 2071509 2194764 2448147 2762012 3264196 4143018 4896294 8286036 8976539 9792588 17953078 26929617 35906156 53859234 80286667 107718468 160573334 240860001 321146668 481720002 883153337 963440004 1043726671 1766306674 2087453342 2649460011 3131180013 3532613348 4174906684 5298920022 6262360026 10597840044 11480993381 12524720052 22961986762 34442980143 45923973524 68885960286 137771920572