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3929074245369 = 347213673113149
BaseRepresentation
bin111001001011001111000…
…100110001111011111001
3111220121121221101001110000
4321023033010301323321
51003333221001322434
612204554120543213
7553603060020300
oct71131704617371
914817557331400
103929074245369
111285346a87429
12535593021b09
1322668293aba0
14d824d7c5437
156c30e481b99
hex392cf131ef9

3929074245369 has 120 divisors (see below), whose sum is σ = 7363812409800. Its totient is φ = 2069380970496.

The previous prime is 3929074245353. The next prime is 3929074245431. The reversal of 3929074245369 is 9635424709293.

3929074245369 is a `hidden beast` number, since 3 + 9 + 2 + 9 + 0 + 74 + 24 + 536 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80336532969 + 3848737712400 = 283437^2 + 1961820^2 .

It is not a de Polignac number, because 3929074245369 - 24 = 3929074245353 is a prime.

It is a super-2 number, since 2×39290742453692 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3929074245319) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34668207 + ... + 34781355.

It is an arithmetic number, because the mean of its divisors is an integer number (61365103415).

Almost surely, 23929074245369 is an apocalyptic number.

3929074245369 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3929074245369 is a deficient number, since it is larger than the sum of its proper divisors (3434738164431).

3929074245369 is a wasteful number, since it uses less digits than its factorization.

3929074245369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113861 (or 113845 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 3929074245369 in words is "three trillion, nine hundred twenty-nine billion, seventy-four million, two hundred forty-five thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 351 441 567 637 673 819 1053 1323 1911 2019 2457 3969 4711 5733 6057 7371 8749 14133 17199 18171 26247 32977 42399 51597 54513 61243 78741 98931 113149 127197 183729 236223 296793 339447 381591 428701 551187 708669 792043 890379 1018341 1286103 1470937 1653561 2376129 2671137 3055023 3858309 4412811 4960683 5544301 7128387 9165069 10296559 11574927 13238433 16632903 21385161 30889677 34724781 39715299 49898709 64155483 72075913 76149277 92669031 119145897 149696127 216227739 228447831 278007093 449088381 533044939 648683217 685343493 834021279 989940601 1599134817 1946049651 2056030479 2969821803 3731314573 4797404451 5838148953 6168091437 6929584207 8909465409 11193943719 14392213353 20788752621 26728396227 33581831157 43176640059 48507089449 62366257863 80185188681 100745493471 145521268347 187098773589 302236480413 436563805041 561296320767 1309691415123 3929074245369