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16315674480 = 2434573141283
BaseRepresentation
bin11110011000111110…
…10110111101110000
31120010001211010210000
433030133112331300
5231403303040410
611254553310000
71115213642040
oct171437267560
946101733700
1016315674480
116a128557a6
1231b4105300
1317002b1671
14b0ac65720
1565759ddc0
hex3cc7d6f70

16315674480 has 800 divisors, whose sum is σ = 68723601408. Its totient is φ = 3508531200.

The previous prime is 16315674457. The next prime is 16315674493. The reversal of 16315674480 is 8447651361.

16315674480 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 567 + 4 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57652419 + ... + 57652701.

Almost surely, 216315674480 is an apocalyptic number.

16315674480 is a gapful number since it is divisible by the number (10) 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 16315674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34361800704).

16315674480 is an abundant number, since it is smaller than the sum of its proper divisors (52407926928).

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

16315674480 is a wasteful number, since it uses less digits than its factorization.

16315674480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16315674480 in words is "sixteen billion, three hundred fifteen million, six hundred seventy-four thousand, four hundred eighty".