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107626447744 = 273729717649
BaseRepresentation
bin110010000111100001…
…0010100001110000000
3101021210200011000210021
41210033002110032000
53230404332311434
6121235400143224
710530040466014
oct1441702241600
9337720130707
10107626447744
114170a362182
1218a37a67b14
13a1c284140a
1452cdc8a544
152beda47cb4
hex190f094380

107626447744 has 64 divisors (see below), whose sum is σ = 220309902000. Its totient is φ = 52334346240.

The previous prime is 107626447717. The next prime is 107626447783. The reversal of 107626447744 is 447744626701.

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

It is a junction number, because it is equal to n+sod(n) for n = 107626447691 and 107626447700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14066832 + ... + 14074480.

Almost surely, 2107626447744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107626447744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110154951000).

107626447744 is an abundant number, since it is smaller than the sum of its proper divisors (112683454256).

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

107626447744 is an equidigital number, since it uses as much as digits as its factorization.

107626447744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 52.

The spelling of 107626447744 in words is "one hundred seven billion, six hundred twenty-six million, four hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2971 4736 5942 7649 11884 15298 23768 30596 47536 61192 95072 109927 122384 190144 219854 244768 283013 380288 439708 489536 566026 879416 979072 1132052 1758832 2264104 3517664 4528208 7035328 9056416 14070656 18112832 22725179 36225664 45450358 90900716 181801432 363602864 727205728 840831623 1454411456 1681663246 2908822912 3363326492 6726652984 13453305968 26906611936 53813223872 107626447744