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136353736872576 = 2733172320835663
BaseRepresentation
bin11111000000001101010100…
…000011001101001010000000
3122212210021211100212211112000
4133000031110003031022000
5120333004423114410301
61202000013021504000
740502142466056306
oct3700152403151200
9585707740784460
10136353736872576
113a4a0327803673
1213362326712000
135b111437473b2
1425957adc3c276
1510b6d18681786
hex7c03540cd280

136353736872576 has 128 divisors (see below), whose sum is σ = 426105427910400. Its totient is φ = 42777642921984.

The previous prime is 136353736872557. The next prime is 136353736872583. The reversal of 136353736872576 is 675278637353631.

136353736872576 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 5 + 3 + 7 + 368 + 7 + 257 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160359080 + ... + 1160476583.

It is an arithmetic number, because the mean of its divisors is an integer number (3328948655550).

Almost surely, 2136353736872576 is an apocalyptic number.

136353736872576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136353736872576 is an abundant number, since it is smaller than the sum of its proper divisors (289751691037824).

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

136353736872576 is a wasteful number, since it uses less digits than its factorization.

136353736872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320835703 (or 2320835685 counting only the distinct ones).

The product of its digits is 2400451200, while the sum is 72.

The spelling of 136353736872576 in words is "one hundred thirty-six trillion, three hundred fifty-three billion, seven hundred thirty-six million, eight hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 2320835663 4641671326 6962506989 9283342652 13925013978 18566685304 20887520967 27850027956 37133370608 39454206271 41775041934 55700055912 62662562901 74266741216 78908412542 83550083868 111400111824 118362618813 125325125802 148533482432 157816825084 167100167736 222800223648 236725237626 250650251604 297066964864 315633650168 334200335472 355087856439 445600447296 473450475252 501300503208 631267300336 668400670944 710175712878 891200894592 946900950504 1002601006416 1065263569317 1262534600672 1336801341888 1420351425756 1893801901008 2005202012832 2130527138634 2525069201344 2673602683776 2840702851512 3787603802016 4010404025664 4261054277268 5050138402688 5681405703024 7575207604032 8020808051328 8522108554536 11362811406048 15150415208064 17044217109072 22725622812096 34088434218144 45451245624192 68176868436288 136353736872576