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2979384096 = 2531317317443
BaseRepresentation
bin1011000110010101…
…1100101100100000
321200122020101122010
42301211130230200
522100210242341
61211350312520
7133555230003
oct26145345440
97618211563
102979384096
11129986a407
126b1958740
13386346990
1420399b53a
15126870716
hexb195cb20

2979384096 has 192 divisors, whose sum is σ = 8966256768. Its totient is φ = 858144768.

The previous prime is 2979384061. The next prime is 2979384101. The reversal of 2979384096 is 6904839792.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6725251 + ... + 6725693.

It is an arithmetic number, because the mean of its divisors is an integer number (46699254).

Almost surely, 22979384096 is an apocalyptic number.

2979384096 is a gapful number since it is divisible by the number (26) 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 2979384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483128384).

2979384096 is an abundant number, since it is smaller than the sum of its proper divisors (5986872672).

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

2979384096 is a wasteful number, since it uses less digits than its factorization.

2979384096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The square root of 2979384096 is about 54583.7347201527. The cubic root of 2979384096 is about 1438.9382760164.

The spelling of 2979384096 in words is "two billion, nine hundred seventy-nine million, three hundred eighty-four thousand, ninety-six".