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107260089482304 = 2634111880963971
BaseRepresentation
bin11000011000110101101111…
…100010000011110001000000
3112001202222001001112011120000
4120120311233202003301000
5103024322130401413204
61020042334352320000
731410200002422513
oct3030655742036100
9461688031464500
10107260089482304
11311a38262800a0
1210043882b43000
1347b0776c1b015
141c6b5b7832d7a
15c6013396e039
hex618d6f883c40

107260089482304 has 140 divisors (see below), whose sum is σ = 346857280292688. Its totient is φ = 32503057401600.

The previous prime is 107260089482233. The next prime is 107260089482309. The reversal of 107260089482304 is 403284980062701.

107260089482304 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 600 + 8 + 9 + 4 + 8 + 23 + 0 + 4 = 666.

It is a super-2 number, since 2×1072600894823042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (107260089482309) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 940424962 + ... + 940539009.

Almost surely, 2107260089482304 is an apocalyptic number.

It is an amenable number.

107260089482304 is an abundant number, since it is smaller than the sum of its proper divisors (239597190810384).

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

107260089482304 is a wasteful number, since it uses less digits than its factorization.

107260089482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880964006 (or 1880963987 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 107260089482304 in words is "one hundred seven trillion, two hundred sixty billion, eighty-nine million, four hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 1880963971 3761927942 5642891913 7523855884 11285783826 15047711768 16928675739 20690603681 22571567652 30095423536 33857351478 41381207362 45143135304 50786027217 60190847072 62071811043 67714702956 82762414724 90286270608 101572054434 120381694144 124143622086 135429405912 152358081651 165524829448 180572541216 186215433129 203144108868 248287244172 270858811824 304716163302 331049658896 361145082432 372430866258 406288217736 496574488344 541717623648 558646299387 609432326604 662099317792 744861732516 812576435472 993148976688 1083435247296 1117292598774 1218864653208 1324198635584 1489723465032 1625152870944 1675938898161 1986297953376 2234585197548 2437729306416 2979446930064 3250305741888 3351877796322 3972595906752 4469170395096 4875458612832 5958893860128 6703755592644 8938340790192 9750917225664 11917787720256 13407511185288 17876681580384 26815022370576 35753363160768 53630044741152 107260089482304