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2676125088 = 2533713101337
BaseRepresentation
bin1001111110000010…
…0110110110100000
320220111121020111000
42133200212312200
520440042000323
61121314352000
7123213454650
oct23740466640
96814536430
102676125088
11115366a42a
1262828b600
13338577690
141b55ba360
15109e1ae43
hex9f826da0

2676125088 has 384 divisors, whose sum is σ = 9730506240. Its totient is φ = 696729600.

The previous prime is 2676125087. The next prime is 2676125119. The reversal of 2676125088 is 8805216762.

2676125088 is a `hidden beast` number, since 26 + 7 + 612 + 5 + 0 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2676125087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7940856 + ... + 7941192.

It is an arithmetic number, because the mean of its divisors is an integer number (25339860).

Almost surely, 22676125088 is an apocalyptic number.

2676125088 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 2676125088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865253120).

2676125088 is an abundant number, since it is smaller than the sum of its proper divisors (7054381152).

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

2676125088 is a wasteful number, since it uses less digits than its factorization.

2676125088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2676125088 is about 51731.2776567523. The cubic root of 2676125088 is about 1388.3601398635.

The spelling of 2676125088 in words is "two billion, six hundred seventy-six million, one hundred twenty-five thousand, eighty-eight".