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100419056136 = 23327199244159
BaseRepresentation
bin101110110000101110…
…0010011001000001000
3100121012101011121012100
41131201130103020020
53121124234244021
6114044252513400
710153322615340
oct1354134231010
9317171147170
10100419056136
1139650a37193
121756617b860
139614593959
144c08985d20
15292ae14626
hex1761713208

100419056136 has 48 divisors (see below), whose sum is σ = 310820889600. Its totient is φ = 28691158752.

The previous prime is 100419056131. The next prime is 100419056149. The reversal of 100419056136 is 631650914001.

100419056136 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 90 + 561 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100419056136.

It is not an unprimeable number, because it can be changed into a prime (100419056131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99621576 + ... + 99622583.

It is an arithmetic number, because the mean of its divisors is an integer number (6475435200).

Almost surely, 2100419056136 is an apocalyptic number.

It is an amenable number.

100419056136 is an abundant number, since it is smaller than the sum of its proper divisors (210401833464).

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

100419056136 is a wasteful number, since it uses less digits than its factorization.

100419056136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199244178 (or 199244171 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100419056136 in words is "one hundred billion, four hundred nineteen million, fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 199244159 398488318 597732477 796976636 1195464954 1394709113 1593953272 1793197431 2390929908 2789418226 3586394862 4184127339 4781859816 5578836452 7172789724 8368254678 11157672904 12552382017 14345579448 16736509356 25104764034 33473018712 50209528068 100419056136