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137029603385 = 51789127193739
BaseRepresentation
bin111111110011110011…
…0011101000000111001
3111002200211101002121202
41333213212131000321
54221114034302020
6142541151543545
712620502260603
oct1774746350071
9432624332552
10137029603385
1153128703204
1222682b2abb5
13cbca37406c
1468bcd30173
153870078e75
hex1fe799d039

137029603385 has 64 divisors (see below), whose sum is σ = 178611609600. Its totient is φ = 100552015872.

The previous prime is 137029603363. The next prime is 137029603433. The reversal of 137029603385 is 583306920731.

It is a cyclic number.

It is not a de Polignac number, because 137029603385 - 226 = 136962494521 is a prime.

It is a super-4 number, since 4×1370296033854 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185425346 + ... + 185426084.

It is an arithmetic number, because the mean of its divisors is an integer number (2790806400).

Almost surely, 2137029603385 is an apocalyptic number.

It is an amenable number.

137029603385 is a deficient number, since it is larger than the sum of its proper divisors (41582006215).

137029603385 is a wasteful number, since it uses less digits than its factorization.

137029603385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170.

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 137029603385 in words is "one hundred thirty-seven billion, twenty-nine million, six hundred three thousand, three hundred eighty-five".

Divisors: 1 5 17 85 89 127 193 445 635 739 965 1513 2159 3281 3695 7565 10795 11303 12563 16405 17177 24511 56515 62815 65771 85885 93853 122555 142627 192151 292009 328855 416687 469265 713135 960755 1118107 1460045 1595501 2083435 2181479 2424659 5590535 7977505 8352917 10907395 12123295 12693803 18113629 37085143 41764585 63469015 90568145 141999589 185425715 215794651 307931693 709997945 1078973255 1539658465 1612112981 8060564905 27405920677 137029603385