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1926937166112 = 253272592314339
BaseRepresentation
bin11100000010100110011…
…001111100000100100000
320211012202120020022212100
4130002212121330010200
5223032331403303422
64033120034530400
7256134204443400
oct34024631740440
96735676208770
101926937166112
11683233882342
12271553436a00
1310c92b70569a
146939b196800
15351cda657ac
hex1c0a667c120

1926937166112 has 216 divisors, whose sum is σ = 6482420053200. Its totient is φ = 541221827328.

The previous prime is 1926937166083. The next prime is 1926937166179. The reversal of 1926937166112 is 2116617396291.

1926937166112 is a `hidden beast` number, since 1 + 9 + 2 + 6 + 9 + 3 + 7 + 16 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324562 + ... + 1989777.

It is an arithmetic number, because the mean of its divisors is an integer number (30011203950).

Almost surely, 21926937166112 is an apocalyptic number.

1926937166112 is a gapful number since it is divisible by the number (12) 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 1926937166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241210026600).

1926937166112 is an abundant number, since it is smaller than the sum of its proper divisors (4555482887088).

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

1926937166112 is a wasteful number, since it uses less digits than its factorization.

1926937166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314428 (or 2314410 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 1926937166112 in words is "one trillion, nine hundred twenty-six billion, nine hundred thirty-seven million, one hundred sixty-six thousand, one hundred twelve".