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3803317192416 = 253729195162007
BaseRepresentation
bin110111010110000111010…
…111101100011011100000
3111110121000201021211222010
4313112013113230123200
5444303143200124131
612031115250512520
7541531513505040
oct67260727543340
914417021254863
103803317192416
111236a83448205
12515137295740
13217860acb111
14d211da31720
1568dedd82b46
hex375875ec6e0

3803317192416 has 96 divisors (see below), whose sum is σ = 11803398243840. Its totient is φ = 1049190944256.

The previous prime is 3803317192369. The next prime is 3803317192421. The reversal of 3803317192416 is 6142917133083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38033171924162 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97561516 + ... + 97600491.

It is an arithmetic number, because the mean of its divisors is an integer number (122952065040).

Almost surely, 23803317192416 is an apocalyptic number.

It is an amenable number.

3803317192416 is an abundant number, since it is smaller than the sum of its proper divisors (8000081051424).

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

3803317192416 is a wasteful number, since it uses less digits than its factorization.

3803317192416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195162056 (or 195162048 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 3803317192416 in words is "three trillion, eight hundred three billion, three hundred seventeen million, one hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 195162007 390324014 585486021 780648028 1170972042 1366134049 1561296056 2341944084 2732268098 3122592112 4098402147 4683888168 5464536196 5659698203 6245184224 8196804294 9367776336 10929072392 11319396406 16393608588 16979094609 18735552672 21858144784 22638792812 32787217176 33958189218 39617887421 43716289568 45277585624 65574434352 67916378436 79235774842 90555171248 118853662263 131148868704 135832756872 158471549684 181110342496 237707324526 271665513744 316943099368 475414649052 543331027488 633886198736 950829298104 1267772397472 1901658596208 3803317192416