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31716948480 = 2935723113227
BaseRepresentation
bin11101100010011110…
…100011101000000000
310000212102000220220120
4131202132203220000
51004424014322410
622323124140240
72201655420360
oct354236435000
9100772026816
1031716948480
11124a6432918
126191b37680
132cb5cc6b49
14176c4a29a0
15c59729570
hex7627a3a00

31716948480 has 640 divisors, whose sum is σ = 122525872128. Its totient is φ = 6842744832.

The previous prime is 31716948443. The next prime is 31716948499. The reversal of 31716948480 is 8484961713.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139722127 + ... + 139722353.

Almost surely, 231716948480 is an apocalyptic number.

31716948480 is a gapful number since it is divisible by the number (30) 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 31716948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61262936064).

31716948480 is an abundant number, since it is smaller than the sum of its proper divisors (90808923648).

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

31716948480 is a wasteful number, since it uses less digits than its factorization.

31716948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 31716948480 in words is "thirty-one billion, seven hundred sixteen million, nine hundred forty-eight thousand, four hundred eighty".