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6988972032 = 2143373761
BaseRepresentation
bin1101000001001001…
…10100000000000000
3200001001222120021000
412200210310000000
5103303134101112
63113301532000
7335123165520
oct64044640000
920031876230
106988972032
112a67102149
121430714000
13874c44513
144a42c9680
152ad88b7dc
hex1a0934000

6988972032 has 480 divisors, whose sum is σ = 24703696640. Its totient is φ = 1911029760.

The previous prime is 6988972031. The next prime is 6988972037. The reversal of 6988972032 is 2302798896.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6988972032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6988972031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114573282 + ... + 114573342.

Almost surely, 26988972032 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 6988972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351848320).

6988972032 is an abundant number, since it is smaller than the sum of its proper divisors (17714724608).

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

6988972032 is an equidigital number, since it uses as much as digits as its factorization.

6988972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6988972032 is about 83600.0719616915. The cubic root of 6988972032 is about 1911.9260955427.

The spelling of 6988972032 in words is "six billion, nine hundred eighty-eight million, nine hundred seventy-two thousand, thirty-two".