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4137692480 = 26512930289
BaseRepresentation
bin1111011010100000…
…0010110101000000
3101200100210120000122
43312220002311000
531433222124410
61522325035412
7204351543245
oct36650026500
911610716018
104137692480
11183368a669
12975855b68
1350c30165c
142b37575cc
151933c2e55
hexf6a02d40

4137692480 has 28 divisors (see below), whose sum is σ = 9852880980. Its totient is φ = 1655076864.

The previous prime is 4137692437. The next prime is 4137692513. The reversal of 4137692480 is 842967314.

It can be written as a sum of positive squares in 2 ways, for example, as 2089586944 + 2048105536 = 45712^2 + 45256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6464825 + ... + 6465464.

Almost surely, 24137692480 is an apocalyptic number.

4137692480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4137692480 is an abundant number, since it is smaller than the sum of its proper divisors (5715188500).

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

4137692480 is a wasteful number, since it uses less digits than its factorization.

4137692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930306 (or 12930296 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 4137692480 is about 64324.8978234711. The cubic root of 4137692480 is about 1605.4103924948.

The spelling of 4137692480 in words is "four billion, one hundred thirty-seven million, six hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12930289 25860578 51721156 64651445 103442312 129302890 206884624 258605780 413769248 517211560 827538496 1034423120 2068846240 4137692480