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16972631040 = 2103523107449
BaseRepresentation
bin11111100111010010…
…11100110000000000
31121210211222222202110
433303221130300000
5234224443143130
611444102215320
71140411661221
oct176351346000
947724888673
1016972631040
11721a675a02
123358124540
1317a642cb61
14b701d7248
156950bcab0
hex3f3a5cc00

16972631040 has 352 divisors, whose sum is σ = 57302899200. Its totient is φ = 4279238656.

The previous prime is 16972631029. The next prime is 16972631057. The reversal of 16972631040 is 4013627961.

It is a self number, because there is not a number n which added to its sum of digits gives 16972631040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37800736 + ... + 37801184.

Almost surely, 216972631040 is an apocalyptic number.

16972631040 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 16972631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651449600).

16972631040 is an abundant number, since it is smaller than the sum of its proper divisors (40330268160).

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

16972631040 is a wasteful number, since it uses less digits than its factorization.

16972631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 16972631040 in words is "sixteen billion, nine hundred seventy-two million, six hundred thirty-one thousand, forty".