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99515325768 = 23353191409609
BaseRepresentation
bin101110010101110010…
…0110101110101001000
3100111212101122100012020
41130223210311311020
53112301410411033
6113414450444440
710122040212045
oct1345344656510
9314771570166
1099515325768
1139227897191
1217353593720
1394cc292361
144b609381cc
1528c68ec6b3
hex172b935d48

99515325768 has 64 divisors (see below), whose sum is σ = 254810188800. Its totient is φ = 32375416320.

The previous prime is 99515325731. The next prime is 99515325809. The reversal of 99515325768 is 86752351599.

It is a super-2 number, since 2×995153257682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38148 + ... + 447756.

It is an arithmetic number, because the mean of its divisors is an integer number (3981409200).

Almost surely, 299515325768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99515325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127405094400).

99515325768 is an abundant number, since it is smaller than the sum of its proper divisors (155294863032).

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

99515325768 is a wasteful number, since it uses less digits than its factorization.

99515325768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409862 (or 409858 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 60.

The spelling of 99515325768 in words is "ninety-nine billion, five hundred fifteen million, three hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 191 212 318 382 424 573 636 764 1146 1272 1528 2292 4584 10123 20246 30369 40492 60738 80984 121476 242952 409609 819218 1228827 1638436 2457654 3276872 4915308 9830616 21709277 43418554 65127831 78235319 86837108 130255662 156470638 173674216 234705957 260511324 312941276 469411914 521022648 625882552 938823828 1877647656 4146471907 8292943814 12439415721 16585887628 24878831442 33171775256 49757662884 99515325768