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99103815114464 = 2541149641790883
BaseRepresentation
bin10110100010001001100111…
…101100100001111011100000
3110222220020021021100100020002
4112202021213230201323200
5100442204103132130324
6550435355242235132
726606004632251346
oct2642114754417340
9428806237310202
1099103815114464
1129639768001346
12b146b971b5aa8
13433b5acbb6a24
141a689163b3996
15b6cdb71973ae
hex5a2267b21ee0

99103815114464 has 96 divisors (see below), whose sum is σ = 201524993863200. Its totient is φ = 47943899545600.

The previous prime is 99103815114407. The next prime is 99103815114503. The reversal of 99103815114464 is 46441151830199.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124912367 + ... + 125703249.

It is an arithmetic number, because the mean of its divisors is an integer number (2099218686075).

Almost surely, 299103815114464 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 99103815114464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100762496931600).

99103815114464 is an abundant number, since it is smaller than the sum of its proper divisors (102421178748736).

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

99103815114464 is a wasteful number, since it uses less digits than its factorization.

99103815114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791724 (or 791716 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 99103815114464 in words is "ninety-nine trillion, one hundred three billion, eight hundred fifteen million, one hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 149 164 298 328 596 641 656 1192 1282 1312 2384 2564 4768 5128 6109 10256 12218 20512 24436 26281 48872 52562 95509 97744 105124 191018 195488 210248 382036 420496 764072 790883 840992 1528144 1581766 3056288 3163532 3915869 6327064 7831738 12654128 15663476 25308256 31326952 32426203 62653904 64852406 117841567 125307808 129704812 235683134 259409624 471366268 506956003 518819248 942732536 1013912006 1037638496 1885465072 2027824012 3770930144 4055648024 4831504247 8111296048 9663008494 16222592096 19326016988 20785196123 38652033976 41570392246 75536444447 77304067952 83140784492 151072888894 154608135904 166281568984 302145777788 332563137968 604291555576 665126275936 1208583111152 2417166222304 3096994222327 6193988444654 12387976889308 24775953778616 49551907557232 99103815114464