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136805175361416 = 2331271312657128951
BaseRepresentation
bin11111000110110001101111…
…111000010111111110001000
3122221101110001220001011212010
4133012301233320113332020
5120412403444343031131
61202543232511215520
740546563530651142
oct3706615770277610
9587343056034763
10136805175361416
113a654826a95a71
12134159145175a0
135b44898b5b983
1425ad5977c1c92
1510c393ad68b46
hex7c6c6fe17f88

136805175361416 has 128 divisors (see below), whose sum is σ = 347470716764160. Its totient is φ = 44880046848000.

The previous prime is 136805175361411. The next prime is 136805175361499. The reversal of 136805175361416 is 614163571508631.

It is not an unprimeable number, because it can be changed into a prime (136805175361411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060843741 + ... + 1060972691.

It is an arithmetic number, because the mean of its divisors is an integer number (2714614974720).

Almost surely, 2136805175361416 is an apocalyptic number.

It is an amenable number.

136805175361416 is an abundant number, since it is smaller than the sum of its proper divisors (210665541402744).

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

136805175361416 is a wasteful number, since it uses less digits than its factorization.

136805175361416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131875 (or 131871 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 136805175361416 in words is "one hundred thirty-six trillion, eight hundred five billion, one hundred seventy-five million, three hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 127 131 254 262 381 393 508 524 762 786 1016 1048 1524 1572 2657 3048 3144 5314 7971 10628 15942 16637 21256 31884 33274 49911 63768 66548 99822 128951 133096 199644 257902 337439 348067 386853 399288 515804 674878 696134 773706 1012317 1031608 1044201 1349756 1392268 1547412 2024634 2088402 2699512 2784536 3094824 4049268 4176804 8098536 8353608 16376777 16892581 32753554 33785162 44204509 49130331 50677743 65507108 67570324 88409018 98260662 101355486 131014216 132613527 135140648 176818036 196521324 202710972 265227054 342622807 353636072 393042648 405421944 530454108 685245614 1027868421 1060908216 1370491228 2055736842 2145357787 2740982456 4111473684 4290715574 6436073361 8222947368 8581431148 12872146722 17162862296 25744293444 43513096489 44883587717 51488586888 87026192978 89767175434 130539289467 134650763151 174052385956 179534350868 261078578934 269301526302 348104771912 359068701736 522157157868 538603052604 1044314315736 1077206105208 5700215640059 11400431280118 17100646920177 22800862560236 34201293840354 45601725120472 68402587680708 136805175361416