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10063764480 = 2103571167127
BaseRepresentation
bin10010101111101100…
…01101110000000000
3221222100202012112210
421113312031300000
5131102310430410
64342341222120
7504250405140
oct112766156000
927870665483
1010063764480
1142a4807230
121b4a401940
13c44c84a33
146b6800920
153dd7a6220
hex257d8dc00

10063764480 has 704 divisors, whose sum is σ = 41050570752. Its totient is φ = 2043740160.

The previous prime is 10063764463. The next prime is 10063764481. The reversal of 10063764480 is 8446736001.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10063764481) 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, 79242177 + ... + 79242303.

Almost surely, 210063764480 is an apocalyptic number.

10063764480 is a gapful number since it is divisible by the number (10) 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 10063764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525285376).

10063764480 is an abundant number, since it is smaller than the sum of its proper divisors (30986806272).

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

10063764480 is a wasteful number, since it uses less digits than its factorization.

10063764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10063764480 in words is "ten billion, sixty-three million, seven hundred sixty-four thousand, four hundred eighty".