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106676766744 = 23331667321487
BaseRepresentation
bin110001101011001101…
…1100100100000011000
3101012100111011020100220
41203112123210200120
53221433223013434
6121001233200040
710464356361522
oct1432633444030
9335314136326
10106676766744
1141272287849
1218811a00020
13a0a0b718b2
14523dabaa12
152b954a5d49
hex18d66e4818

106676766744 has 64 divisors (see below), whose sum is σ = 275348951040. Its totient is φ = 34405102080.

The previous prime is 106676766689. The next prime is 106676766761. The reversal of 106676766744 is 447667676601.

It is a super-2 number, since 2×1066767667442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 4953969 + ... + 4975455.

It is an arithmetic number, because the mean of its divisors is an integer number (4302327360).

Almost surely, 2106676766744 is an apocalyptic number.

It is an amenable number.

106676766744 is an abundant number, since it is smaller than the sum of its proper divisors (168672184296).

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

106676766744 is a wasteful number, since it uses less digits than its factorization.

106676766744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28200 (or 28196 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 106676766744 in words is "one hundred six billion, six hundred seventy-six million, seven hundred sixty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 6673 13346 20019 21487 26692 40038 42974 53384 64461 80076 85948 128922 160152 171896 206863 257844 413726 515688 620589 666097 827452 1241178 1332194 1654904 1998291 2482356 2664388 3996582 4964712 5328776 7993164 15986328 143382751 286765502 430148253 573531004 860296506 1147062008 1720593012 3441186024 4444865281 8889730562 13334595843 17779461124 26669191686 35558922248 53338383372 106676766744