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7938470864 = 241924493061
BaseRepresentation
bin1110110010010101…
…10111001111010000
3202111020122002210102
413121022313033100
5112224222031424
63351420551532
7400502613632
oct73112671720
922436562712
107938470864
113404072725
1216566b25a8
1399687c14c
1455444ca52
15316de47ae
hex1d92b73d0

7938470864 has 60 divisors (see below), whose sum is σ = 16274376900. Its totient is φ = 3750727680.

The previous prime is 7938470863. The next prime is 7938470873. The reversal of 7938470864 is 4680748397.

It can be written as a sum of positive squares in 2 ways, for example, as 6465446464 + 1473024400 = 80408^2 + 38380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938470863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2591894 + ... + 2594954.

It is an arithmetic number, because the mean of its divisors is an integer number (271239615).

Almost surely, 27938470864 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 7938470864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8137188450).

7938470864 is an abundant number, since it is smaller than the sum of its proper divisors (8335906036).

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

7938470864 is a wasteful number, since it uses less digits than its factorization.

7938470864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The square root of 7938470864 is about 89098.0968595851. The cubic root of 7938470864 is about 1994.8593702836.

The spelling of 7938470864 in words is "seven billion, nine hundred thirty-eight million, four hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 449 722 898 1444 1796 2888 3061 3592 5776 6122 7184 8531 12244 17062 24488 34124 48976 58159 68248 116318 136496 162089 232636 324178 465272 648356 930544 1105021 1296712 1374389 2210042 2593424 2748778 4420084 5497556 8840168 10995112 17680336 21990224 26113391 52226782 104453564 208907128 417814256 496154429 992308858 1984617716 3969235432 7938470864