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187013280944 = 24717379259159
BaseRepresentation
bin1010111000101011011…
…1000011010010110000
3122212201021111000001202
42232022313003102300
511031000344442234
6221525051350332
716340235442220
oct2561267032260
9585637430052
10187013280944
1172348137a36
12302b24523a8
131483491a529
1490a1412080
154ce829777e
hex2b8adc34b0

187013280944 has 80 divisors (see below), whose sum is σ = 439618291200. Its totient is φ = 75234604032.

The previous prime is 187013280869. The next prime is 187013280977. The reversal of 187013280944 is 449082310781.

187013280944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1870132809442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592037 + ... + 851195.

It is an arithmetic number, because the mean of its divisors is an integer number (5495228640).

Almost surely, 2187013280944 is an apocalyptic number.

187013280944 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 187013280944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219809145600).

187013280944 is an abundant number, since it is smaller than the sum of its proper divisors (252605010256).

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

187013280944 is a wasteful number, since it uses less digits than its factorization.

187013280944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259570 (or 259564 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 187013280944 in words is "one hundred eighty-seven billion, thirteen million, two hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 379 476 758 952 1516 1904 2653 3032 5306 6064 6443 10612 12886 21224 25772 42448 45101 51544 90202 103088 180404 259159 360808 518318 721616 1036636 1814113 2073272 3628226 4146544 4405703 7256452 8811406 14512904 17622812 29025808 30839921 35245624 61679842 70491248 98221261 123359684 196442522 246719368 392885044 493438736 687548827 785770088 1375097654 1571540176 1669761437 2750195308 3339522874 5500390616 6679045748 11000781232 11688330059 13358091496 23376660118 26716182992 46753320236 93506640472 187013280944