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10145425160160 = 25325311455115619
BaseRepresentation
bin1001001110100010101001…
…1101100111011111100000
31022220220010010022211020100
42103220222131213133200
52312210312320111120
633324424410542400
72064661043663133
oct223505235473740
938826103284210
1010145425160160
1132617180152a4
12117a302437a00
1358792b989754
1427108109221a
15128d8c09e490
hex93a2a7677e0

10145425160160 has 288 divisors, whose sum is σ = 35742822635520. Its totient is φ = 2617826688000.

The previous prime is 10145425160141. The next prime is 10145425160179. The reversal of 10145425160160 is 6106152454101.

10145425160160 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 42 + 5 + 1 + 601 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10145425160141) and next prime (10145425160179).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649548831 + ... + 649564449.

It is an arithmetic number, because the mean of its divisors is an integer number (124107023040).

Almost surely, 210145425160160 is an apocalyptic number.

10145425160160 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 10145425160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17871411317760).

10145425160160 is an abundant number, since it is smaller than the sum of its proper divisors (25597397475360).

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

10145425160160 is a wasteful number, since it uses less digits than its factorization.

10145425160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30222 (or 30211 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10145425160160 in words is "ten trillion, one hundred forty-five billion, four hundred twenty-five million, one hundred sixty thousand, one hundred sixty".