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2674293864 = 2331131283127
BaseRepresentation
bin1001111101100110…
…0111110001101000
320220101011012111220
42133121213301220
520434104400424
61121211222040
7123162060054
oct23731476150
96811135456
102674293864
111152629620
12627747920
13338086008
141b5260c64
15109ba8579
hex9f667c68

2674293864 has 192 divisors, whose sum is σ = 7687249920. Its totient is φ = 768700800.

The previous prime is 2674293829. The next prime is 2674293887. The reversal of 2674293864 is 4683924762.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21057369 + ... + 21057495.

It is an arithmetic number, because the mean of its divisors is an integer number (40037760).

Almost surely, 22674293864 is an apocalyptic number.

2674293864 is a gapful number since it is divisible by the number (24) 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 2674293864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843624960).

2674293864 is an abundant number, since it is smaller than the sum of its proper divisors (5012956056).

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

2674293864 is a wasteful number, since it uses less digits than its factorization.

2674293864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 2674293864 is about 51713.5752390028. The cubic root of 2674293864 is about 1388.0433910256.

The spelling of 2674293864 in words is "two billion, six hundred seventy-four million, two hundred ninety-three thousand, eight hundred sixty-four".