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2994038172160 = 29572171817757
BaseRepresentation
bin101011100100011010100…
…101001110101000000000
3101121020010200001001010121
4223210122211032220000
5343023242233002120
610211235300510024
7426212025361600
oct53443245165000
911536120031117
102994038172160
11a54845548232
124043213ab314
1318944b63aa19
14a4cab1c2c00
1552d3614b5aa
hex2b91a94ea00

2994038172160 has 480 divisors, whose sum is σ = 8891917162128. Its totient is φ = 960681738240.

The previous prime is 2994038172149. The next prime is 2994038172283. The reversal of 2994038172160 is 612718304992.

It can be written as a sum of positive squares in 8 ways, for example, as 1234658767104 + 1759379405056 = 1111152^2 + 1326416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2994038172098 and 2994038172107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385975002 + ... + 385982758.

Almost surely, 22994038172160 is an apocalyptic number.

2994038172160 is a gapful number since it is divisible by the number (20) 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 2994038172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445958581064).

2994038172160 is an abundant number, since it is smaller than the sum of its proper divisors (5897878989968).

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

2994038172160 is a wasteful number, since it uses less digits than its factorization.

2994038172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 2994038172160 in words is "two trillion, nine hundred ninety-four billion, thirty-eight million, one hundred seventy-two thousand, one hundred sixty".