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3929146056 = 2334111573511
BaseRepresentation
bin1110101000110010…
…0000001011001000
3101010211101022010000
43222030200023020
531021330133211
61445515123000
7166240122213
oct35214401310
911124338100
103929146056
11173699a650
12917a43460
134a80442c4
14293b8c77a
1517ee2b656
hexea3202c8

3929146056 has 160 divisors (see below), whose sum is σ = 12085634880. Its totient is φ = 1182729600.

The previous prime is 3929146007. The next prime is 3929146073. The reversal of 3929146056 is 6506419293.

3929146056 is a `hidden beast` number, since 3 + 9 + 29 + 14 + 605 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1117341 + ... + 1120851.

It is an arithmetic number, because the mean of its divisors is an integer number (75535218).

Almost surely, 23929146056 is an apocalyptic number.

3929146056 is a gapful number since it is divisible by the number (36) 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 3929146056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042817440).

3929146056 is an abundant number, since it is smaller than the sum of its proper divisors (8156488824).

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

3929146056 is a wasteful number, since it uses less digits than its factorization.

3929146056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3929146056 is about 62682.9008263019. The cubic root of 3929146056 is about 1577.9723570748.

The spelling of 3929146056 in words is "three billion, nine hundred twenty-nine million, one hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 157 162 198 216 264 297 314 324 396 471 594 628 648 792 891 942 1188 1256 1413 1727 1782 1884 2376 2826 3454 3511 3564 3768 4239 5181 5652 6908 7022 7128 8478 10362 10533 11304 12717 13816 14044 15543 16956 20724 21066 25434 28088 31086 31599 33912 38621 41448 42132 46629 50868 62172 63198 77242 84264 93258 94797 101736 115863 124344 126396 139887 154484 186516 189594 231726 252792 279774 284391 308968 347589 373032 379188 463452 551227 559548 568782 695178 758376 926904 1042767 1102454 1119096 1137564 1390356 1653681 2085534 2204908 2275128 2780712 3128301 3307362 4171068 4409816 4961043 6063497 6256602 6614724 8342136 9922086 12126994 12513204 13229448 14883129 18190491 19844172 24253988 25026408 29766258 36380982 39688344 44649387 48507976 54571473 59532516 72761964 89298774 109142946 119065032 145523928 163714419 178597548 218285892 327428838 357195096 436571784 491143257 654857676 982286514 1309715352 1964573028 3929146056