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129494841264 = 2434313223189
BaseRepresentation
bin111100010011001111…
…1100111011110110000
3110101020201101112010000
41320212133213132300
54110201134410024
6135253351510000
712233000663235
oct1704637473660
9411221345100
10129494841264
114aa11509978
122111b688300
13c299334639
1463a636d78c
15357d82bcc9
hex1e267e77b0

129494841264 has 100 divisors (see below), whose sum is σ = 386885942080. Its totient is φ = 41772516480.

The previous prime is 129494841209. The next prime is 129494841299. The reversal of 129494841264 is 462148494921.

129494841264 is a `hidden beast` number, since 1 + 2 + 9 + 494 + 84 + 12 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129494841264.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1571419 + ... + 1651770.

Almost surely, 2129494841264 is an apocalyptic number.

It is an amenable number.

129494841264 is an abundant number, since it is smaller than the sum of its proper divisors (257391100816).

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

129494841264 is a wasteful number, since it uses less digits than its factorization.

129494841264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223240 (or 3223225 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 129494841264 in words is "one hundred twenty-nine billion, four hundred ninety-four million, eight hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 1116 1296 1488 1674 2232 2511 3348 4464 5022 6696 10044 13392 20088 40176 3223189 6446378 9669567 12892756 19339134 25785512 29008701 38678268 51571024 58017402 77356536 87026103 99918859 116034804 154713072 174052206 199837718 232069608 261078309 299756577 348104412 399675436 464139216 522156618 599513154 696208824 799350872 899269731 1044313236 1199026308 1392417648 1598701744 1798539462 2088626472 2398052616 2697809193 3597078924 4177252944 4796105232 5395618386 7194157848 8093427579 10791236772 14388315696 16186855158 21582473544 32373710316 43164947088 64747420632 129494841264