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253108326688 = 25723419117251
BaseRepresentation
bin1110101110111001101…
…1101001000100100000
3220012022112222012201221
43223232123221010200
513121331212423223
6312135405504424
724200155164460
oct3535633510440
9805275865657
10253108326688
1198385063088
1241079572114
131ab39040c59
14c371575ba0
1568b5b59b5d
hex3aee6e9120

253108326688 has 96 divisors (see below), whose sum is σ = 595677680640. Its totient is φ = 103510176000.

The previous prime is 253108326671. The next prime is 253108326703. The reversal of 253108326688 is 886623801352.

253108326688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 2100063 + ... + 2217313.

It is an arithmetic number, because the mean of its divisors is an integer number (6204975840).

Almost surely, 2253108326688 is an apocalyptic number.

253108326688 is a gapful number since it is divisible by the number (28) 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 253108326688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297838840320).

253108326688 is an abundant number, since it is smaller than the sum of its proper divisors (342569353952).

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

253108326688 is a wasteful number, since it uses less digits than its factorization.

253108326688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117710 (or 117702 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 253108326688 in words is "two hundred fifty-three billion, one hundred eight million, three hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 419 644 736 838 1288 1676 2576 2933 3352 5152 5866 6704 9637 11732 13408 19274 23464 38548 46928 67459 77096 93856 117251 134918 154192 234502 269836 308384 469004 539672 820757 938008 1079344 1641514 1876016 2158688 2696773 3283028 3752032 5393546 6566056 10787092 13132112 18877411 21574184 26264224 37754822 43148368 49128169 75509644 86296736 98256338 151019288 196512676 302038576 343897183 393025352 604077152 687794366 786050704 1129947887 1375588732 1572101408 2259895774 2751177464 4519791548 5502354928 7909635209 9039583096 11004709856 15819270418 18079166192 31638540836 36158332384 63277081672 126554163344 253108326688