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17941090944 = 273741173941
BaseRepresentation
bin10000101101010111…
…110101001010000000
31201022100022211222210
4100231113311022000
5243220404402234
612124135502120
71203411520410
oct205527651200
951270284883
1017941090944
117677307197
123588527940
1318cbc7605a
14c22a94640
1570011dbe9
hex42d5f5280

17941090944 has 256 divisors, whose sum is σ = 56174549760. Its totient is φ = 4966809600.

The previous prime is 17941090931. The next prime is 17941090963. The reversal of 17941090944 is 44909014971.

It is a super-2 number, since 2×179410909442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 17941090893 and 17941090902.

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, 19065514 + ... + 19066454.

It is an arithmetic number, because the mean of its divisors is an integer number (219431835).

Almost surely, 217941090944 is an apocalyptic number.

17941090944 is a gapful number since it is divisible by the number (14) 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 17941090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087274880).

17941090944 is an abundant number, since it is smaller than the sum of its proper divisors (38233458816).

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

17941090944 is a wasteful number, since it uses less digits than its factorization.

17941090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 17941090944 in words is "seventeen billion, nine hundred forty-one million, ninety thousand, nine hundred forty-four".