Search a number
-
+
136627754530464 = 2533181873668371
BaseRepresentation
bin11111000100001100100000…
…110001100111011010100000
3122220202111010010110010102000
4133010030200301213122200
5120402002120124433324
61202325531323124000
740531013060532261
oct3704144061473240
9586674103403360
10136627754530464
113a59656161075a
12133a745a673600
135b30c32675972
1425a4b66364968
1510be004cc89c9
hex7c4320c676a0

136627754530464 has 96 divisors (see below), whose sum is σ = 400699262134080. Its totient is φ = 45290968300800.

The previous prime is 136627754530391. The next prime is 136627754530541. The reversal of 136627754530464 is 464035457726631.

136627754530464 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 7 + 7 + 54 + 530 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436677802 + ... + 436990569.

It is an arithmetic number, because the mean of its divisors is an integer number (4173950647230).

Almost surely, 2136627754530464 is an apocalyptic number.

It is an amenable number.

136627754530464 is an abundant number, since it is smaller than the sum of its proper divisors (264071507603616).

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

136627754530464 is a wasteful number, since it uses less digits than its factorization.

136627754530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873668571 (or 873668557 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 136627754530464 in words is "one hundred thirty-six trillion, six hundred twenty-seven billion, seven hundred fifty-four million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 362 432 543 724 864 1086 1448 1629 2172 2896 3258 4344 4887 5792 6516 8688 9774 13032 17376 19548 26064 39096 52128 78192 156384 873668371 1747336742 2621005113 3494673484 5242010226 6989346968 7863015339 10484020452 13978693936 15726030678 20968040904 23589046017 27957387872 31452061356 41936081808 47178092034 62904122712 83872163616 94356184068 125808245424 158133975151 188712368136 251616490848 316267950302 377424736272 474401925453 632535900604 754849472544 948803850906 1265071801208 1423205776359 1897607701812 2530143602416 2846411552718 3795215403624 4269617329077 5060287204832 5692823105436 7590430807248 8539234658154 11385646210872 15180861614496 17078469316308 22771292421744 34156938632616 45542584843488 68313877265232 136627754530464