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15234241152 = 2731327111261
BaseRepresentation
bin11100011000000100…
…00001001010000000
31110022200220122010210
432030002001022000
5222144431204102
610555402354120
71046342625144
oct161402011200
943280818123
1015234241152
116508371949
122b51abb940
13158a2318a0
14a4739b224
155e268436c
hex38c081280

15234241152 has 128 divisors (see below), whose sum is σ = 43743409920. Its totient is φ = 4669747200.

The previous prime is 15234241147. The next prime is 15234241181. The reversal of 15234241152 is 25114243251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347202 + ... + 1358462.

It is an arithmetic number, because the mean of its divisors is an integer number (341745390).

Almost surely, 215234241152 is an apocalyptic number.

15234241152 is a gapful number since it is divisible by the number (12) 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 15234241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871704960).

15234241152 is an abundant number, since it is smaller than the sum of its proper divisors (28509168768).

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

15234241152 is a wasteful number, since it uses less digits than its factorization.

15234241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11550 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The spelling of 15234241152 in words is "fifteen billion, two hundred thirty-four million, two hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 271 312 384 416 542 624 813 832 1084 1248 1626 1664 2168 2496 3252 3523 4336 4992 6504 7046 8672 10569 11261 13008 14092 17344 21138 22522 26016 28184 33783 34688 42276 45044 52032 56368 67566 84552 90088 104064 112736 135132 146393 169104 180176 225472 270264 292786 338208 360352 439179 450944 540528 585572 676416 720704 878358 1081056 1171144 1352832 1441408 1756716 2162112 2342288 3051731 3513432 4324224 4684576 6103462 7026864 9155193 9369152 12206924 14053728 18310386 18738304 24413848 28107456 36620772 39672503 48827696 56214912 73241544 79345006 97655392 119017509 146483088 158690012 195310784 238035018 292966176 317380024 390621568 476070036 585932352 634760048 952140072 1171864704 1269520096 1904280144 2539040192 3808560288 5078080384 7617120576 15234241152