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39716221344 = 2532417171167
BaseRepresentation
bin100100111111010001…
…010111000110100000
310210111220002002100220
4210333101113012200
51122314323040334
630125000243040
72604130211532
oct447721270640
9123456062326
1039716221344
1115930853a28
127844a70480
13398c343cb7
141ccaa1b852
151076b2e449
hex93f4571a0

39716221344 has 48 divisors (see below), whose sum is σ = 104298824448. Its totient is φ = 13233185792.

The previous prime is 39716221339. The next prime is 39716221367. The reversal of 39716221344 is 44312261793.

It is a happy number.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 39716221296 and 39716221305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146449 + ... + 317615.

It is an arithmetic number, because the mean of its divisors is an integer number (2172892176).

Almost surely, 239716221344 is an apocalyptic number.

It is an amenable number.

39716221344 is an abundant number, since it is smaller than the sum of its proper divisors (64582603104).

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

39716221344 is a wasteful number, since it uses less digits than its factorization.

39716221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173597 (or 173589 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 39716221344 in words is "thirty-nine billion, seven hundred sixteen million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2417 4834 7251 9668 14502 19336 29004 38672 58008 77344 116016 171167 232032 342334 513501 684668 1027002 1369336 2054004 2738672 4108008 5477344 8216016 16432032 413710639 827421278 1241131917 1654842556 2482263834 3309685112 4964527668 6619370224 9929055336 13238740448 19858110672 39716221344