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634488884436 = 22311374312723789
BaseRepresentation
bin10010011101110100111…
…11000000110011010100
32020122201121202220200110
421032322133000303110
540343413123300221
61203251414443020
763561140350341
oct11167237006324
92218647686613
10634488884436
112250a3485980
12a2b75063470
1347aa8006834
14229d09437c8
1511787adb776
hex93ba7c0cd4

634488884436 has 192 divisors, whose sum is σ = 1710724055040. Its totient is φ = 181275978240.

The previous prime is 634488884429. The next prime is 634488884437.

634488884436 is nontrivially palindromic in base 10.

634488884436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6344888844362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634488884437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26659630 + ... + 26683418.

It is an arithmetic number, because the mean of its divisors is an integer number (8910021120).

Almost surely, 2634488884436 is an apocalyptic number.

634488884436 is a gapful number since it is divisible by the number (66) 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 634488884436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855362027520).

634488884436 is an abundant number, since it is smaller than the sum of its proper divisors (1076235170604).

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

634488884436 is a wasteful number, since it uses less digits than its factorization.

634488884436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24014 (or 24012 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 66.

The spelling of 634488884436 in words is "six hundred thirty-four billion, four hundred eighty-eight million, eight hundred eighty-four thousand, four hundred thirty-six".