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6409326768 = 2431371144667
BaseRepresentation
bin1011111100000011…
…01001000010110000
3121112200021112102220
411332001221002300
5101111241424033
62535554041040
7314554243605
oct57601510260
917480245386
106409326768
112799997079
1212aa579180
137b1b24660
1444b3206ac
15277a3ebb3
hex17e0690b0

6409326768 has 80 divisors (see below), whose sum is σ = 18082342656. Its totient is φ = 1944311040.

The previous prime is 6409326751. The next prime is 6409326769. The reversal of 6409326768 is 8676239046.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6409326768.

It is not an unprimeable number, because it can be changed into a prime (6409326769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28030 + ... + 116637.

Almost surely, 26409326768 is an apocalyptic number.

It is an amenable number.

6409326768 is an abundant number, since it is smaller than the sum of its proper divisors (11673015888).

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

6409326768 is a wasteful number, since it uses less digits than its factorization.

6409326768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144762 (or 144756 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 6409326768 is about 80058.2710780092. The cubic root of 6409326768 is about 1857.5369919819.

The spelling of 6409326768 in words is "six billion, four hundred nine million, three hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1136 1704 1846 2769 3408 3692 5538 7384 11076 14768 22152 44304 144667 289334 434001 578668 868002 1157336 1736004 1880671 2314672 3472008 3761342 5642013 6944016 7522684 10271357 11284026 15045368 20542714 22568052 30090736 30814071 41085428 45136104 61628142 82170856 90272208 123256284 133527641 164341712 246512568 267055282 400582923 493025136 534110564 801165846 1068221128 1602331692 2136442256 3204663384 6409326768