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10171529316 = 22341324312
BaseRepresentation
bin10010111100100010…
…10011100001100100
3222020212112020010000
421132101103201210
5131312402414231
64401151101300
7510026400264
oct113621234144
928225466100
1010171529316
11434a621583
121b7a511830
13c613b6900
146c6c537a4
153e7e916e6
hex25e453864

10171529316 has 135 divisors (see below), whose sum is σ = 28860101193. Its totient is φ = 3122439840.

The previous prime is 10171529309. The next prime is 10171529351. The reversal of 10171529316 is 61392517101.

It is a happy number.

The square root of 10171529316 is 100854.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1504664100 + 8666865216 = 38790^2 + 93096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23599621 + ... + 23600051.

Almost surely, 210171529316 is an apocalyptic number.

10171529316 is the 100854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10171529316

10171529316 is an abundant number, since it is smaller than the sum of its proper divisors (18688571877).

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

10171529316 is an equidigital number, since it uses as much as digits as its factorization.

10171529316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 10171529316 by its sum of digits (36), we get a square (366175055376 = 6051242).

10171529316 divided by its sum of digits (36) gives a square (282542481 = 168092).

The spelling of 10171529316 in words is "ten billion, one hundred seventy-one million, five hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 431 468 507 676 702 862 1014 1053 1293 1404 1521 1724 2028 2106 2586 3042 3879 4212 4563 5172 5603 6084 7758 9126 11206 11637 13689 15516 16809 18252 22412 23274 27378 33618 34911 46548 50427 54756 67236 69822 72839 100854 139644 145678 151281 185761 201708 218517 291356 302562 371522 437034 453843 557283 605124 655551 743044 874068 907686 1114566 1311102 1671849 1815372 1966653 2229132 2414893 2622204 3343698 3933306 4829786 5015547 5899959 6687396 7244679 7866612 9659572 10031094 11799918 14489358 15046641 20062188 21734037 23599836 28978716 30093282 31393609 43468074 60186564 62787218 65202111 86936148 94180827 125574436 130404222 188361654 195606333 260808444 282542481 376723308 391212666 565084962 782425332 847627443 1130169924 1695254886 2542882329 3390509772 5085764658 10171529316