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3909131680 = 25524432073
BaseRepresentation
bin1110100100000000…
…1001110110100000
3101002102201110112211
43221000021312200
531001214203210
61443522131504
7165605033236
oct35100116640
911072643484
103909131680
11172666a543
129111b0b94
134a3b5748c
1429125c956
1517d2c638a
hexe9009da0

3909131680 has 24 divisors (see below), whose sum is σ = 9235323972. Its totient is φ = 1563652608.

The previous prime is 3909131663. The next prime is 3909131693. The reversal of 3909131680 is 861319093.

It can be written as a sum of positive squares in 2 ways, for example, as 3885278224 + 23853456 = 62332^2 + 4884^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12215877 + ... + 12216196.

Almost surely, 23909131680 is an apocalyptic number.

It is an amenable number.

3909131680 is an abundant number, since it is smaller than the sum of its proper divisors (5326192292).

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

3909131680 is a wasteful number, since it uses less digits than its factorization.

3909131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24432088 (or 24432080 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 3909131680 is about 62523.0491898788. The cubic root of 3909131680 is about 1575.2884907001.

The spelling of 3909131680 in words is "three billion, nine hundred nine million, one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 24432073 48864146 97728292 122160365 195456584 244320730 390913168 488641460 781826336 977282920 1954565840 3909131680