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103364621424 = 2433594055423
BaseRepresentation
bin110000001000100000…
…0101111010001110000
3100212210122202211011000
41200101000233101300
53143142320341144
6115252434322000
710316320533261
oct1402100572160
9325718684130
10103364621424
113a9226a7a69
1218048729300
1399938c93ac
145007c5c968
152a4e804769
hex181102f470

103364621424 has 80 divisors (see below), whose sum is σ = 301723545600. Its totient is φ = 33870884544.

The previous prime is 103364621383. The next prime is 103364621431. The reversal of 103364621424 is 424126463301.

103364621424 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 6 + 4 + 621 + 4 + 24 = 666.

103364621424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 2002224 + ... + 2053199.

It is an arithmetic number, because the mean of its divisors is an integer number (3771544320).

Almost surely, 2103364621424 is an apocalyptic number.

It is an amenable number.

103364621424 is an abundant number, since it is smaller than the sum of its proper divisors (198358924176).

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

103364621424 is a wasteful number, since it uses less digits than its factorization.

103364621424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055499 (or 4055487 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 103364621424 in words is "one hundred three billion, three hundred sixty-four million, six hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 6372 8496 12744 25488 4055423 8110846 12166269 16221692 24332538 32443384 36498807 48665076 64886768 72997614 97330152 109496421 145995228 194660304 218992842 239269957 291990456 437985684 478539914 583980912 717809871 875971368 957079828 1435619742 1751942736 1914159656 2153429613 2871239484 3828319312 4306859226 5742478968 6460288839 8613718452 11484957936 12920577678 17227436904 25841155356 34454873808 51682310712 103364621424