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134265416625216 = 26322310134768767
BaseRepresentation
bin11110100001110100011010…
…011101101010110001000000
3122121101122111201220112212100
4132201310122131222301000
5120044301033124001331
61153320403023230400
740165233121620552
oct3641643235526100
9577348451815770
10134265416625216
1139865709435818
1213085654448400
1359bc23639b436
1425226a35c54d2
15107c841a2bae6
hex7a1d1a76ac40

134265416625216 has 84 divisors (see below), whose sum is σ = 401580077663232. Its totient is φ = 42809263267584.

The previous prime is 134265416625143. The next prime is 134265416625281. The reversal of 134265416625216 is 612526614562431.

134265416625216 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 5 + 4 + 1 + 6 + 625 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5067371136 + ... + 5067397631.

Almost surely, 2134265416625216 is an apocalyptic number.

134265416625216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134265416625216 is an abundant number, since it is smaller than the sum of its proper divisors (267314661038016).

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

134265416625216 is a wasteful number, since it uses less digits than its factorization.

134265416625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134768808 (or 10134768795 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 134265416625216 in words is "one hundred thirty-four trillion, two hundred sixty-five billion, four hundred sixteen million, six hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 10134768767 20269537534 30404306301 40539075068 60808612602 81078150136 91212918903 121617225204 162156300272 182425837806 233099681641 243234450408 324312600544 364851675612 466199363282 486468900816 648625201088 699299044923 729703351224 932398726564 972937801632 1398598089846 1459406702448 1864797453128 1945875603264 2097897134769 2797196179692 2918813404896 3729594906256 4195794269538 5594392359384 5837626809792 7459189812512 8391588539076 11188784718768 14918379625024 16783177078152 22377569437536 33566354156304 44755138875072 67132708312608 134265416625216