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252317010744 = 2335129792701
BaseRepresentation
bin1110101011111101000…
…1000000101100111000
3220010021101222012100000
43222333101000230320
513113221123320434
6311525101113000
724141436130061
oct3527721005470
9803241865300
10252317010744
1198009413767
1240a98558760
131aa4110b976
14c2d842b568
15686b44ab99
hex3abf440b38

252317010744 has 48 divisors (see below), whose sum is σ = 708668152920. Its totient is φ = 84105669600.

The previous prime is 252317010721. The next prime is 252317010767. The reversal of 252317010744 is 447010713252.

252317010744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252317010721) and next prime (252317010767).

It is a super-2 number, since 2×2523170107442 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 252317010699 and 252317010708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64894407 + ... + 64898294.

Almost surely, 2252317010744 is an apocalyptic number.

252317010744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252317010744 is an abundant number, since it is smaller than the sum of its proper divisors (456351142176).

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

252317010744 is a wasteful number, since it uses less digits than its factorization.

252317010744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129792722 (or 129792706 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 252317010744 its reverse (447010713252), we get a palindrome (699327723996).

The spelling of 252317010744 in words is "two hundred fifty-two billion, three hundred seventeen million, ten thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 129792701 259585402 389378103 519170804 778756206 1038341608 1168134309 1557512412 2336268618 3115024824 3504402927 4672537236 7008805854 9345074472 10513208781 14017611708 21026417562 28035223416 31539626343 42052835124 63079252686 84105670248 126158505372 252317010744