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319653790944 = 25314922347161
BaseRepresentation
bin1001010011011001101…
…10011100010011100000
31010120002020000001110020
410221230312130103200
520214122332302234
6402502534033440
732044214251365
oct4515466342340
91116066001406
10319653790944
11113623260334
1251b4b4a8880
13241b28799c7
141168546646c
1584acd3e549
hex4a6cd9c4e0

319653790944 has 48 divisors (see below), whose sum is σ = 844722723600. Its totient is φ = 105836149760.

The previous prime is 319653790933. The next prime is 319653790957. The reversal of 319653790944 is 449097356913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3196537909442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11159277 + ... + 11187884.

It is an arithmetic number, because the mean of its divisors is an integer number (17598390075).

Almost surely, 2319653790944 is an apocalyptic number.

It is an amenable number.

319653790944 is an abundant number, since it is smaller than the sum of its proper divisors (525068932656).

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

319653790944 is a wasteful number, since it uses less digits than its factorization.

319653790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22347323 (or 22347315 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 319653790944 in words is "three hundred nineteen billion, six hundred fifty-three million, seven hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 14304 22347161 44694322 67041483 89388644 134082966 178777288 268165932 357554576 536331864 715109152 1072663728 2145327456 3329726989 6659453978 9989180967 13318907956 19978361934 26637815912 39956723868 53275631824 79913447736 106551263648 159826895472 319653790944