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253312665564 = 223721922673887
BaseRepresentation
bin1110101111101010011…
…1001000011111011100
3220012211210110200222110
43223322213020133130
513122241020244224
6312211545314020
724205216062600
oct3537247103734
9805753420873
10253312665564
119847a439992
1241115a95910
131ab6c48712a
14c390767500
1568c8a6e929
hex3afa9c87dc

253312665564 has 72 divisors (see below), whose sum is σ = 723750504960. Its totient is φ = 68565831264.

The previous prime is 253312665547. The next prime is 253312665569. The reversal of 253312665564 is 465566213352.

It is a happy number.

It is a super-2 number, since 2×2533126655642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253312665569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11325772 + ... + 11348115.

Almost surely, 2253312665564 is an apocalyptic number.

It is an amenable number.

253312665564 is an abundant number, since it is smaller than the sum of its proper divisors (470437839396).

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

253312665564 is a wasteful number, since it uses less digits than its factorization.

253312665564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22673927 (or 22673918 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 253312665564 in words is "two hundred fifty-three billion, three hundred twelve million, six hundred sixty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 11172 22673887 45347774 68021661 90695548 136043322 158717209 272086644 317434418 430803853 476151627 634868836 861607706 952303254 1111020463 1292411559 1723215412 1904606508 2222040926 2584823118 3015626971 3333061389 4444081852 5169646236 6031253942 6666122778 9046880913 12062507884 13332245556 18093761826 21109388797 36187523652 42218777594 63328166391 84437555188 126656332782 253312665564