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2970801288 = 23327134111059
BaseRepresentation
bin1011000100010010…
…1101010010001000
321200001002100020100
42301010231102020
522041011120123
61210442325400
7133422252150
oct26104552210
97601070210
102970801288
111294a37a84
126aaab9860
133846301b0
142027a5760
15125c27643
hexb112d488

2970801288 has 192 divisors, whose sum is σ = 10145116800. Its totient is φ = 764328960.

The previous prime is 2970801287. The next prime is 2970801313. The reversal of 2970801288 is 8821080792.

It is a happy number.

2970801288 is a `hidden beast` number, since 297 + 0 + 80 + 1 + 288 = 666.

It is not an unprimeable number, because it can be changed into a prime (2970801283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263103 + ... + 274161.

It is an arithmetic number, because the mean of its divisors is an integer number (52839150).

Almost surely, 22970801288 is an apocalyptic number.

2970801288 is a gapful number since it is divisible by the number (28) 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 2970801288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072558400).

2970801288 is an abundant number, since it is smaller than the sum of its proper divisors (7174315512).

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

2970801288 is a wasteful number, since it uses less digits than its factorization.

2970801288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 2970801288 is about 54505.0574534144. The cubic root of 2970801288 is about 1437.5552150990. Note that the first 3 decimals are identical.

The spelling of 2970801288 in words is "two billion, nine hundred seventy million, eight hundred one thousand, two hundred eighty-eight".