Search a number
-
+
100392353816 = 23294736725087
BaseRepresentation
bin101110101111111011…
…0011100000000011000
3100121010111220222111112
41131133312130000120
53121100420310231
6114041500315452
710152546633116
oct1353766340030
9317114828445
10100392353816
1139637959357
1217559242b88
13960bba4971
144c051d4ab6
1529288dc92b
hex175fd9c018

100392353816 has 64 divisors (see below), whose sum is σ = 199419494400. Its totient is φ = 47302964352.

The previous prime is 100392353813. The next prime is 100392353819. The reversal of 100392353816 is 618353293001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100392353813) and next prime (100392353819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100392353813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3989225 + ... + 4014311.

It is an arithmetic number, because the mean of its divisors is an integer number (3115929600).

Almost surely, 2100392353816 is an apocalyptic number.

It is an amenable number.

100392353816 is a deficient number, since it is larger than the sum of its proper divisors (99027140584).

100392353816 is a wasteful number, since it uses less digits than its factorization.

100392353816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536 (or 25532 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 100392353816 in words is "one hundred billion, three hundred ninety-two million, three hundred fifty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 8 29 47 58 94 116 188 232 367 376 734 1363 1468 2726 2936 5452 10643 10904 17249 21286 25087 34498 42572 50174 68996 85144 100348 137992 200696 500221 727523 1000442 1179089 1455046 2000884 2358178 2910092 4001768 4716356 5820184 9206929 9432712 18413858 34193581 36827716 68387162 73655432 136774324 267000941 273548648 432725663 534001882 865451326 1068003764 1730902652 2136007528 3461805304 12549044227 25098088454 50196176908 100392353816