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10086998016 = 21333711093
BaseRepresentation
bin10010110010011101…
…10110000000000000
3222000222110120222010
421121032312000000
5131124232414031
64344531212520
7504652032324
oct113116660000
928028416863
1010086998016
1143069359a7
121b56147140
13c49a2aba4
146b992b984
153e0845246
hex2593b6000

10086998016 has 112 divisors (see below), whose sum is σ = 27626456304. Its totient is φ = 3271163904.

The previous prime is 10086997933. The next prime is 10086998017. The reversal of 10086998016 is 61089968001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086998017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903766 + ... + 914858.

Almost surely, 210086998016 is an apocalyptic number.

10086998016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10086998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813228152).

10086998016 is an abundant number, since it is smaller than the sum of its proper divisors (17539458288).

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

10086998016 is an equidigital number, since it uses as much as digits as its factorization.

10086998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11159 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 10086998016 in words is "ten billion, eighty-six million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4096 4736 6144 7104 8192 9472 11093 12288 14208 18944 22186 24576 28416 33279 37888 44372 56832 66558 75776 88744 113664 133116 151552 177488 227328 266232 303104 354976 410441 454656 532464 709952 820882 909312 1064928 1231323 1419904 1641764 2129856 2462646 2839808 3283528 4259712 4925292 5679616 6567056 8519424 9850584 11359232 13134112 17038848 19701168 22718464 26268224 34077696 39402336 45436928 52536448 68155392 78804672 90873856 105072896 136310784 157609344 210145792 272621568 315218688 420291584 630437376 840583168 1260874752 1681166336 2521749504 3362332672 5043499008 10086998016