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10042681008816 = 2432379318386723
BaseRepresentation
bin1001001000100011111001…
…1011110010001010110000
31022120001220201002011000200
42102020332123302022300
52304014402314240231
633205313255115200
72054362666053321
oct222107633621260
938501821064020
1010042681008816
113222093687725
121162409672b00
1357b0367a5321
1426a0d57c8448
15126376eacbe6
hex9223e6f22b0

10042681008816 has 60 divisors (see below), whose sum is σ = 28112970034968. Its totient is φ = 3346677591552.

The previous prime is 10042681008809. The next prime is 10042681008817. The reversal of 10042681008816 is 61880018624001.

10042681008816 is a `hidden beast` number, since 100 + 426 + 8 + 100 + 8 + 8 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (10042681008817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8647170 + ... + 9739553.

Almost surely, 210042681008816 is an apocalyptic number.

10042681008816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10042681008816 is an abundant number, since it is smaller than the sum of its proper divisors (18070289026152).

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

10042681008816 is a wasteful number, since it uses less digits than its factorization.

10042681008816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18390530 (or 18390521 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10042681008816 in words is "ten trillion, forty-two billion, six hundred eighty-one million, eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3793 7586 11379 15172 22758 30344 34137 45516 60688 68274 91032 136548 182064 273096 546192 18386723 36773446 55160169 73546892 110320338 147093784 165480507 220640676 294187568 330961014 441281352 661922028 882562704 1323844056 2647688112 69740840339 139481680678 209222521017 278963361356 418445042034 557926722712 627667563051 836890084068 1115853445424 1255335126102 1673780168136 2510670252204 3347560336272 5021340504408 10042681008816