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15214103256 = 23311536716229
BaseRepresentation
bin11100010101101010…
…01100101011011000
31110021022000112010210
432022311030223120
5222124302301011
610553403011120
71046006513112
oct161265145330
943238015123
1015214103256
1164a7a67a60
122b47209aa0
131586000781
14a448383b2
155e0a076a6
hex38ad4cad8

15214103256 has 128 divisors (see below), whose sum is σ = 42909523200. Its totient is φ = 4455559680.

The previous prime is 15214103251. The next prime is 15214103329. The reversal of 15214103256 is 65230141251.

15214103256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15214103251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 929350 + ... + 945578.

It is an arithmetic number, because the mean of its divisors is an integer number (335230650).

Almost surely, 215214103256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15214103256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454761600).

15214103256 is an abundant number, since it is smaller than the sum of its proper divisors (27695419944).

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

15214103256 is a wasteful number, since it uses less digits than its factorization.

15214103256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16369 (or 16365 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 15214103256 in words is "fifteen billion, two hundred fourteen million, one hundred three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 67 88 106 132 134 159 201 212 264 268 318 402 424 536 583 636 737 804 1166 1272 1474 1608 1749 2211 2332 2948 3498 3551 4422 4664 5896 6996 7102 8844 10653 13992 14204 16229 17688 21306 28408 32458 39061 42612 48687 64916 78122 85224 97374 117183 129832 156244 178519 194748 234366 312488 357038 389496 468732 535557 714076 860137 937464 1071114 1087343 1428152 1720274 2142228 2174686 2580411 3262029 3440548 4284456 4349372 5160822 6524058 6881096 8698744 9461507 10321644 11960773 13048116 18923014 20643288 23921546 26096232 28384521 35882319 37846028 47843092 56769042 57629179 71764638 75692056 95686184 113538084 115258358 143529276 172887537 227076168 230516716 287058552 345775074 461033432 633920969 691550148 1267841938 1383100296 1901762907 2535683876 3803525814 5071367752 7607051628 15214103256