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253289251488 = 25371328993733
BaseRepresentation
bin1110101111100100110…
…1110100001010100000
3220012210011102010220110
43223321031310022200
513122214022021423
6312205351411320
724204513054150
oct3537115641240
9805704363813
10253289251488
11984681a7609
124110a083b40
131ab67679a50
14c38b5d0760
1568c6997193
hex3af93742a0

253289251488 has 96 divisors (see below), whose sum is σ = 818319148416. Its totient is φ = 66801558528.

The previous prime is 253289251483. The next prime is 253289251511. The reversal of 253289251488 is 884152982352.

253289251488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (253289251483) by changing a digit.

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, 14488131 + ... + 14505602.

It is an arithmetic number, because the mean of its divisors is an integer number (8524157796).

Almost surely, 2253289251488 is an apocalyptic number.

253289251488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

253289251488 is an abundant number, since it is smaller than the sum of its proper divisors (565029896928).

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

253289251488 is a wasteful number, since it uses less digits than its factorization.

253289251488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28993766 (or 28993758 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 57.

The spelling of 253289251488 in words is "two hundred fifty-three billion, two hundred eighty-nine million, two hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 28993733 57987466 86981199 115974932 173962398 202956131 231949864 347924796 376918529 405912262 463899728 608868393 695849592 753837058 811824524 927799456 1130755587 1217736786 1391699184 1507674116 1623649048 2261511174 2435473572 2638429703 2783398368 3015348232 3247298096 4523022348 4870947144 5276859406 6030696464 6494596192 7915289109 9046044696 9741894288 10553718812 12061392928 15830578218 18092089392 19483788576 21107437624 31661156436 36184178784 42214875248 63322312872 84429750496 126644625744 253289251488