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253342663464 = 233114322317007
BaseRepresentation
bin1110101111110001100…
…1100100001100101000
3220012220212220202100210
43223330121210030220
513122321210212324
6312214540301120
724206032052202
oct3537431441450
9805825822323
10253342663464
1198495368840
1241123b417a0
131ab7575b177
14c394735772
1568cb4e7d29
hex3afc664328

253342663464 has 64 divisors (see below), whose sum is σ = 707002813440. Its totient is φ = 74985140160.

The previous prime is 253342663463. The next prime is 253342663529. The reversal of 253342663464 is 464366243352.

253342663464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253342663463) 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, 11147152 + ... + 11169855.

It is an arithmetic number, because the mean of its divisors is an integer number (11046918960).

Almost surely, 2253342663464 is an apocalyptic number.

253342663464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253342663464 is an abundant number, since it is smaller than the sum of its proper divisors (453660149976).

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

253342663464 is a wasteful number, since it uses less digits than its factorization.

253342663464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22317070 (or 22317066 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 48.

The spelling of 253342663464 in words is "two hundred fifty-three billion, three hundred forty-two million, six hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 22317007 44634014 66951021 89268028 133902042 178536056 245487077 267804084 490974154 535608168 736461231 959631301 981948308 1472922462 1919262602 1963896616 2878893903 2945844924 3838525204 5757787806 5891689848 7677050408 10555944311 11515575612 21111888622 23031151224 31667832933 42223777244 63335665866 84447554488 126671331732 253342663464