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10160741521920 = 2935111771251397
BaseRepresentation
bin1001001111011011101101…
…1000111001101000000000
31022222100122112202121200010
42103312323120321220000
52312433144312200140
633335440305424520
72066042434626063
oct223667330715000
938870575677603
1010160741521920
113268167776610
12118127793b140
135891ccc119c2
14271ad53088da
15129486a55880
hex93dbb639a00

10160741521920 has 1280 divisors, whose sum is σ = 38296292880384. Its totient is φ = 2270822400000.

The previous prime is 10160741521919. The next prime is 10160741521939. The reversal of 10160741521920 is 2912514706101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25593807162 + ... + 25593807558.

Almost surely, 210160741521920 is an apocalyptic number.

10160741521920 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 10160741521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148146440192).

10160741521920 is an abundant number, since it is smaller than the sum of its proper divisors (28135551358464).

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

10160741521920 is a wasteful number, since it uses less digits than its factorization.

10160741521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 10160741521920 in words is "ten trillion, one hundred sixty billion, seven hundred forty-one million, five hundred twenty-one thousand, nine hundred twenty".