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107010107040744 = 23321486251486677
BaseRepresentation
bin11000010101001100111011…
…011010101110001111101000
3112000220001210100110101002100
4120111030323122232033220
5103011223144400300434
61015331433045133400
731353140131632525
oct3025147332561750
9460801710411070
10107010107040744
1131107805749856
12100033383ba260
13479301869914b
141c5d4614b214c
15c588a2472699
hex61533b6ae3e8

107010107040744 has 24 divisors (see below), whose sum is σ = 289819039902210. Its totient is φ = 35670035680224.

The previous prime is 107010107040721. The next prime is 107010107040757. The reversal of 107010107040744 is 447040701010701.

107010107040744 is a `hidden beast` number, since 10 + 70 + 101 + 0 + 70 + 407 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106462403435844 + 547703604900 = 10318062^2 + 740070^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1070101070407442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107010107040699 and 107010107040708.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 743125743267 + ... + 743125743410.

Almost surely, 2107010107040744 is an apocalyptic number.

It is an amenable number.

107010107040744 is an abundant number, since it is smaller than the sum of its proper divisors (182808932861466).

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

107010107040744 is a wasteful number, since it uses less digits than its factorization.

107010107040744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486251486689 (or 1486251486682 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 107010107040744 in words is "one hundred seven trillion, ten billion, one hundred seven million, forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1486251486677 2972502973354 4458754460031 5945005946708 8917508920062 11890011893416 13376263380093 17835017840124 26752526760186 35670035680248 53505053520372 107010107040744