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123829731920 = 245393432
BaseRepresentation
bin111001101010011010…
…0111100001001010000
3102211121220111011001102
41303110310330021100
54012100402410140
6132515300523532
711642421232406
oct1632464741120
9384556434042
10123829731920
1148574723424
121bbba3b05a8
13b8a576172b
145dc9c17476
15334b2e5e15
hex1cd4d3c250

123829731920 has 30 divisors (see below), whose sum is σ = 287911444698. Its totient is φ = 49530633792.

The previous prime is 123829731913. The next prime is 123829731931. The reversal of 123829731920 is 29137928321.

It can be written as a sum of positive squares in only one way, i.e., 99063785536 + 24765946384 = 314744^2 + 157372^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3127769 + ... + 3167111.

Almost surely, 2123829731920 is an apocalyptic number.

123829731920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123829731920 is an abundant number, since it is smaller than the sum of its proper divisors (164081712778).

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

123829731920 is an frugal number, since it uses more digits than its factorization.

123829731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78699 (or 39350 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 123829731920 in words is "one hundred twenty-three billion, eight hundred twenty-nine million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 39343 78686 157372 196715 314744 393430 629488 786860 1573720 3147440 1547871649 3095743298 6191486596 7739358245 12382973192 15478716490 24765946384 30957432980 61914865960 123829731920