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30931694640 = 2433571132953
BaseRepresentation
bin11100110011101011…
…000011010000110000
32221211200102220011000
4130303223003100300
51001322003212030
622113153322000
72143342031520
oct346353032060
987750386130
1030931694640
1112133154000
125bb2b66300
132bbc407bc2
1416d6095680
15c10816860
hex733ac3430

30931694640 has 1280 divisors, whose sum is σ = 141162393600. Its totient is φ = 6088642560.

The previous prime is 30931694617. The next prime is 30931694711. The reversal of 30931694640 is 4649613903.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 583616854 + ... + 583616906.

It is an arithmetic number, because the mean of its divisors is an integer number (110283120).

Almost surely, 230931694640 is an apocalyptic number.

30931694640 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 30931694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70581196800).

30931694640 is an abundant number, since it is smaller than the sum of its proper divisors (110230698960).

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

30931694640 is a wasteful number, since it uses less digits than its factorization.

30931694640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30931694640 in words is "thirty billion, nine hundred thirty-one million, six hundred ninety-four thousand, six hundred forty".