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10129936502 = 272417135509
BaseRepresentation
bin10010110111100101…
…01001000001110110
3222010222021002111102
421123302221001312
5131221230432002
64353103410102
7506013016400
oct113362510166
928128232442
1010129936502
1143290a3254
121b685b3932
13c558b308a
146c1507b70
153e44c7a02
hex25bca9076

10129936502 has 48 divisors (see below), whose sum is σ = 18362363040. Its totient is φ = 4175740800.

The previous prime is 10129936477. The next prime is 10129936511. The reversal of 10129936502 is 20563992101.

10129936502 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101299365022 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 267524 + ... + 303032.

It is an arithmetic number, because the mean of its divisors is an integer number (382549230).

Almost surely, 210129936502 is an apocalyptic number.

10129936502 is a deficient number, since it is larger than the sum of its proper divisors (8232426538).

10129936502 is a wasteful number, since it uses less digits than its factorization.

10129936502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35637 (or 35630 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 10129936502 in words is "ten billion, one hundred twenty-nine million, nine hundred thirty-six thousand, five hundred two".

Divisors: 1 2 7 14 41 49 71 82 98 142 287 497 574 994 2009 2911 3479 4018 5822 6958 20377 35509 40754 71018 142639 248563 285278 497126 1455869 1739941 2521139 2911738 3479882 5042278 10191083 17647973 20382166 35295946 71337581 103366699 123535811 142675162 206733398 247071622 723566893 1447133786 5064968251 10129936502