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107384253704 = 23713316197687
BaseRepresentation
bin110010000000010011…
…0011010110100001000
3101021011210102022000122
41210000212122310020
53224410332104304
6121155345122412
710521040044650
oct1440046326410
9337153368018
10107384253704
11415a5680212
121898a929408
13a184602a30
1452a9a43360
152bd76569be
hex190099ad08

107384253704 has 128 divisors (see below), whose sum is σ = 256250265600. Its totient is φ = 41039550720.

The previous prime is 107384253701. The next prime is 107384253737. The reversal of 107384253704 is 407352483701.

It is not an unprimeable number, because it can be changed into a prime (107384253701) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13965749 + ... + 13973435.

It is an arithmetic number, because the mean of its divisors is an integer number (2001955200).

Almost surely, 2107384253704 is an apocalyptic number.

107384253704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107384253704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128125132800).

107384253704 is an abundant number, since it is smaller than the sum of its proper divisors (148866011896).

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

107384253704 is a wasteful number, since it uses less digits than its factorization.

107384253704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 107384253704 in words is "one hundred seven billion, three hundred eighty-four million, two hundred fifty-three thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 619 728 806 868 1238 1612 1736 2476 2821 3224 4333 4952 5642 7687 8047 8666 11284 15374 16094 17332 19189 22568 30748 32188 34664 38378 53809 56329 61496 64376 76756 99931 107618 112658 134323 153512 199862 215236 225316 238297 249457 268646 399724 430472 450632 476594 498914 537292 699517 799448 953188 997828 1074584 1399034 1668079 1746199 1906376 1995656 2798068 3097861 3336158 3492398 4758253 5596136 6195722 6672316 6984796 9516506 12391444 13344632 13969592 19033012 21685027 24782888 33307771 38066024 43370054 61857289 66615542 86740108 123714578 133231084 147505843 173480216 247429156 266462168 295011686 433001023 494858312 590023372 866002046 1032540901 1180046744 1732004092 1917575959 2065081802 3464008184 3835151918 4130163604 7670303836 8260327208 13423031713 15340607672 26846063426 53692126852 107384253704