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942145066170 = 2355721117219131
BaseRepresentation
bin11011011010111000011…
…10001101010010111010
310100001211201011021100000
431231130032031102322
5110414003114104140
62000452050253430
7125032142633400
oct15553416152272
93301751137300
10942145066170
1133361a3678a0
12132716587276
136aac8077c99
1433858811470
15197924cda30
hexdb5c38d4ba

942145066170 has 1728 divisors, whose sum is σ = 3632221232640. Its totient is φ = 173224396800.

The previous prime is 942145066147. The next prime is 942145066183. The reversal of 942145066170 is 71660541249.

942145066170 is a `hidden beast` number, since 9 + 4 + 2 + 14 + 506 + 61 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 7191947005 + ... + 7191947135.

It is an arithmetic number, because the mean of its divisors is an integer number (2101979880).

Almost surely, 2942145066170 is an apocalyptic number.

942145066170 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 942145066170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816110616320).

942145066170 is an abundant number, since it is smaller than the sum of its proper divisors (2690076166470).

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

942145066170 is a wasteful number, since it uses less digits than its factorization.

942145066170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 942145066170 in words is "nine hundred forty-two billion, one hundred forty-five million, sixty-six thousand, one hundred seventy".