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107023116672 = 273330967337
BaseRepresentation
bin110001110101100010…
…0110010100110000000
3101020020121212122011000
41203223010302212000
53223140404213142
6121055444452000
710506063324213
oct1435304624600
9336217778130
10107023116672
114142a83965a
12188a99aa000
13a12784a594
145273ab777a
152bb5abd14c
hex18eb132980

107023116672 has 64 divisors (see below), whose sum is σ = 315866847600. Its totient is φ = 35674371072.

The previous prime is 107023116659. The next prime is 107023116677. The reversal of 107023116672 is 276611320701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1070231166722 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107023116677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15480213 + ... + 15487124.

Almost surely, 2107023116672 is an apocalyptic number.

107023116672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107023116672 is an abundant number, since it is smaller than the sum of its proper divisors (208843730928).

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

107023116672 is an equidigital number, since it uses as much as digits as its factorization.

107023116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30967360 (or 30967342 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 107023116672 in words is "one hundred seven billion, twenty-three million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 30967337 61934674 92902011 123869348 185804022 247738696 278706033 371608044 495477392 557412066 743216088 836118099 990954784 1114824132 1486432176 1672236198 1981909568 2229648264 2972864352 3344472396 3963819136 4459296528 5945728704 6688944792 8918593056 11891457408 13377889584 17837186112 26755779168 35674372224 53511558336 107023116672