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253872251712 = 2632617225417
BaseRepresentation
bin1110110001101111110…
…1110010001101000000
3220021021210102121212100
43230123331302031000
513124412244023322
6312343255230400
724225122351232
oct3543375621500
9807253377770
10253872251712
11987372a4282
1241251378400
131ac2b3a29b1
14c404bd0252
15690cc57dac
hex3b1bf72340

253872251712 has 84 divisors (see below), whose sum is σ = 739608237316. Its totient is φ = 83236792320.

The previous prime is 253872251681. The next prime is 253872251777. The reversal of 253872251712 is 217152278352.

It is a happy number.

253872251712 is a `hidden beast` number, since 2 + 5 + 387 + 2 + 251 + 7 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8466944256 + 245405307456 = 92016^2 + 495384^2 .

It is a super-2 number, since 2×2538722517122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3577573 + ... + 3647844.

Almost surely, 2253872251712 is an apocalyptic number.

It is an amenable number.

253872251712 is an abundant number, since it is smaller than the sum of its proper divisors (485735985604).

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

253872251712 is a wasteful number, since it uses less digits than its factorization.

253872251712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225496 (or 7225483 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 253872251712 in words is "two hundred fifty-three billion, eight hundred seventy-two million, two hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 7225417 14450834 21676251 28901668 43352502 57803336 65028753 86705004 115606672 130057506 173410008 231213344 260115012 346820016 440750437 462426688 520230024 693640032 881500874 1040460048 1322251311 1387280064 1763001748 2080920096 2644502622 3526003496 3966753933 4161840192 5289005244 7052006992 7933507866 10578010488 14104013984 15867015732 21156020976 28208027968 31734031464 42312041952 63468062928 84624083904 126936125856 253872251712