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136518519448368 = 24322934993671107
BaseRepresentation
bin11111000010100110110001…
…110110110110001100110000
3122220101001011100101000010200
4133002212301312312030300
5120343204411434321433
61202203424140155200
740520065114622211
oct3702466166661460
9586331140330120
10136518519448368
113a5541a721a802
121338a253b38b00
135b23844797705
14259d7629b7408
1510bb25ee28613
hex7c29b1db6330

136518519448368 has 120 divisors (see below), whose sum is σ = 396369293502000. Its totient is φ = 43811100329472.

The previous prime is 136518519448307. The next prime is 136518519448373. The reversal of 136518519448368 is 863844915815631.

136518519448368 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 1 + 8 + 51 + 94 + 483 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136518519448296 and 136518519448305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45378130 + ... + 48292977.

It is an arithmetic number, because the mean of its divisors is an integer number (3303077445850).

Almost surely, 2136518519448368 is an apocalyptic number.

136518519448368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136518519448368 is an abundant number, since it is smaller than the sum of its proper divisors (259850774053632).

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

136518519448368 is a wasteful number, since it uses less digits than its factorization.

136518519448368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93671499 (or 93671490 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 136518519448368 in words is "one hundred thirty-six trillion, five hundred eighteen billion, five hundred nineteen million, four hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 349 464 522 696 698 1044 1047 1392 1396 2088 2094 2792 3141 4176 4188 5584 6282 8376 10121 12564 16752 20242 25128 30363 40484 50256 60726 80968 91089 121452 161936 182178 242904 364356 485808 728712 1457424 93671107 187342214 281013321 374684428 562026642 749368856 843039963 1124053284 1498737712 1686079926 2248106568 2716462103 3372159852 4496213136 5432924206 6744319704 8149386309 10865848412 13488639408 16298772618 21731696824 24448158927 32597545236 32691216343 43463393648 48896317854 65195090472 65382432686 97792635708 98073649029 130390180944 130764865372 195585271416 196147298058 261529730744 294220947087 391170542832 392294596116 523059461488 588441894174 784589192232 948045273947 1176883788348 1569178384464 1896090547894 2353767576696 2844135821841 3792181095788 4707535153392 5688271643682 7584362191576 8532407465523 11376543287364 15168724383152 17064814931046 22753086574728 34129629862092 45506173149456 68259259724184 136518519448368