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137029722765 = 351312738314447
BaseRepresentation
bin111111110011110011…
…0111010001010001101
3111002200211121011101020
41333213212322022031
54221114102112030
6142541154304353
712620503265625
oct1774746721215
9432624534336
10137029722765
1153128784971
1222682b880b9
13cbca3b64c0
1468bcd61885
15387009e510
hex1fe79ba28d

137029722765 has 64 divisors (see below), whose sum is σ = 238609760256. Its totient is φ = 66750227712.

The previous prime is 137029722757. The next prime is 137029722769. The reversal of 137029722765 is 567227920731.

It is not a de Polignac number, because 137029722765 - 23 = 137029722757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137029722769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9477772 + ... + 9492218.

It is an arithmetic number, because the mean of its divisors is an integer number (3728277504).

Almost surely, 2137029722765 is an apocalyptic number.

137029722765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137029722765 is a deficient number, since it is larger than the sum of its proper divisors (101580037491).

137029722765 is a wasteful number, since it uses less digits than its factorization.

137029722765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14978.

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 137029722765 in words is "one hundred thirty-seven billion, twenty-nine million, seven hundred twenty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 127 195 381 383 635 1149 1651 1905 1915 4953 4979 5745 8255 14447 14937 24765 24895 43341 48641 72235 74685 145923 187811 216705 243205 563433 632333 729615 939055 1834769 1896999 2817165 3161665 5504307 5533201 9173845 9484995 16599603 23851997 27521535 27666005 71555991 71931613 82998015 119259985 215794839 357779955 359658065 702716527 1078974195 2108149581 3513582635 9135314851 10540747905 27405944553 45676574255 137029722765