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634363901920 = 25573113102293
BaseRepresentation
bin10010011101100110000…
…10001111011111100000
32020122101220121010220101
421032303002033133200
540343134124330140
61203231151552144
763555062125000
oct11166302173740
92218356533811
10634363901920
11225039980741
12a2b3b22b654
1347a88156a98
14229bc0cc000
151177bb4e99a
hex93b308f7e0

634363901920 has 192 divisors, whose sum is σ = 1763221219200. Its totient is φ = 215569342464.

The previous prime is 634363901909. The next prime is 634363901921. The reversal of 634363901920 is 29109363436.

634363901920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634363901921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6150294 + ... + 6252586.

It is an arithmetic number, because the mean of its divisors is an integer number (9183443850).

Almost surely, 2634363901920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634363901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881610609600).

634363901920 is an abundant number, since it is smaller than the sum of its proper divisors (1128857317280).

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

634363901920 is a wasteful number, since it uses less digits than its factorization.

634363901920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102442 (or 102420 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 634363901920 in words is "six hundred thirty-four billion, three hundred sixty-three million, nine hundred one thousand, nine hundred twenty".