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6871157440 = 265731531867
BaseRepresentation
bin1100110011000110…
…11000101011000000
3122201212021222000121
412121203120223000
5103033004014230
63053452430024
7332162605660
oct63143305300
918655258017
106871157440
112a06653314
1213b9178314
13856704244
144927bc1a0
152a336877a
hex1998d8ac0

6871157440 has 224 divisors, whose sum is σ = 19677302784. Its totient is φ = 2235617280.

The previous prime is 6871157417. The next prime is 6871157453. The reversal of 6871157440 is 447511786.

It is a tau number, because it is divible by the number of its divisors (224).

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, 3679387 + ... + 3681253.

Almost surely, 26871157440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838651392).

6871157440 is an abundant number, since it is smaller than the sum of its proper divisors (12806145344).

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

6871157440 is a wasteful number, since it uses less digits than its factorization.

6871157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 6871157440 is about 82892.4450115932. The cubic root of 6871157440 is about 1901.1219080448.

The spelling of 6871157440 in words is "six billion, eight hundred seventy-one million, one hundred fifty-seven thousand, four hundred forty".