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10512938388480 = 210351123107131193
BaseRepresentation
bin1001100011111011101111…
…1101010100110000000000
31101020000201202022012102020
42120332323331110300000
52334220444211412410
634205324402521440
72133351261613113
oct230767375246000
941200652265366
1010512938388480
11339356a715260
121219589966280
135b349a985668
14284b8684057a
151336eb8a7a70
hex98fbbf54c00

10512938388480 has 1408 divisors, whose sum is σ = 39131003805696. Its totient is φ = 2384147251200.

The previous prime is 10512938388461. The next prime is 10512938388487. The reversal of 10512938388480 is 8488383921501.

10512938388480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×105129383884802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10512938388487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54471183264 + ... + 54471183456.

It is an arithmetic number, because the mean of its divisors is an integer number (27791906112).

Almost surely, 210512938388480 is an apocalyptic number.

10512938388480 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 10512938388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19565501902848).

10512938388480 is an abundant number, since it is smaller than the sum of its proper divisors (28618065417216).

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

10512938388480 is a wasteful number, since it uses less digits than its factorization.

10512938388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 10512938388480 in words is "ten trillion, five hundred twelve billion, nine hundred thirty-eight million, three hundred eighty-eight thousand, four hundred eighty".