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6425626680 = 233251117313079
BaseRepresentation
bin1011111101111111…
…10100100000111000
3121120210221122201100
411332333310200320
5101124430023210
62541335251400
7315142632324
oct57677644070
917523848640
106425626680
1127a810a480
1212b3b19b60
137b5310885
1444d564984
152791ae5c0
hex17eff4838

6425626680 has 384 divisors, whose sum is σ = 24908083200. Its totient is φ = 1418342400.

The previous prime is 6425626651. The next prime is 6425626721. The reversal of 6425626680 is 866265246.

6425626680 is a `hidden beast` number, since 6 + 4 + 2 + 562 + 6 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2085381 + ... + 2088459.

It is an arithmetic number, because the mean of its divisors is an integer number (64864800).

Almost surely, 26425626680 is an apocalyptic number.

6425626680 is a gapful number since it is divisible by the number (60) 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 6425626680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454041600).

6425626680 is an abundant number, since it is smaller than the sum of its proper divisors (18482456520).

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

6425626680 is a wasteful number, since it uses less digits than its factorization.

6425626680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6425626680 is about 80160.0067365267. The cubic root of 6425626680 is about 1859.1103272089.

The spelling of 6425626680 in words is "six billion, four hundred twenty-five million, six hundred twenty-six thousand, six hundred eighty".