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160931798016 = 2103115418803
BaseRepresentation
bin1001010111100001001…
…0000101110000000000
3120101101121120101120120
42111320102011300000
510114042020014031
6201533034540240
714425016466333
oct2257022056000
9511347511516
10160931798016
1162283893870
1227233897680
13122393177b2
147b0958a61a
1542bd69aa96
hex2578485c00

160931798016 has 176 divisors, whose sum is σ = 468854836608. Its totient is φ = 48671539200.

The previous prime is 160931797991. The next prime is 160931798021. The reversal of 160931798016 is 610897139061.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×1609317980162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 160931798016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18277071 + ... + 18285873.

Almost surely, 2160931798016 is an apocalyptic number.

160931798016 is a gapful number since it is divisible by the number (16) 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 160931798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234427418304).

160931798016 is an abundant number, since it is smaller than the sum of its proper divisors (307923038592).

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

160931798016 is a wasteful number, since it uses less digits than its factorization.

160931798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 160931798016 in words is "one hundred sixty billion, nine hundred thirty-one million, seven hundred ninety-eight thousand, sixteen".