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13664606250 = 23553123509
BaseRepresentation
bin11001011100111100…
…10101100000101010
31022021022100220211210
430232132111200222
5210441114400000
610135531533550
7662423144121
oct145636254052
938238326753
1013664606250
11588234aa19
1227942ba2b6
131399c9b039
14938b2cab8
1554e982350
hex32e79582a

13664606250 has 96 divisors (see below), whose sum is σ = 35262743040. Its totient is φ = 3526200000.

The previous prime is 13664606191. The next prime is 13664606287. The reversal of 13664606250 is 5260646631.

13664606250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13664606199 and 13664606208.

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 47 ways as a sum of consecutive naturals, for example, 569496 + ... + 593004.

It is an arithmetic number, because the mean of its divisors is an integer number (367320240).

Almost surely, 213664606250 is an apocalyptic number.

13664606250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13664606250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631371520).

13664606250 is an abundant number, since it is smaller than the sum of its proper divisors (21598136790).

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

13664606250 is an equidigital number, since it uses as much as digits as its factorization.

13664606250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23570 (or 23550 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 13664606250 in words is "thirteen billion, six hundred sixty-four million, six hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 625 750 775 930 1250 1550 1875 2325 3125 3750 3875 4650 6250 7750 9375 11625 18750 19375 23250 23509 38750 47018 58125 70527 96875 116250 117545 141054 193750 235090 290625 352635 581250 587725 705270 728779 1175450 1457558 1763175 2186337 2938625 3526350 3643895 4372674 5877250 7287790 8815875 10931685 14693125 17631750 18219475 21863370 29386250 36438950 44079375 54658425 73465625 88158750 91097375 109316850 146931250 182194750 220396875 273292125 440793750 455486875 546584250 910973750 1366460625 2277434375 2732921250 4554868750 6832303125 13664606250