Search a number
-
+
642168432738 = 232740112709663
BaseRepresentation
bin10010101100001000011…
…10001010100001100010
32021101112211012101111100
421112010032022201202
541010130104321423
61211001430055230
764252350421110
oct11260416124142
92241484171440
10642168432738
11228384380208
12a4558aaa516
134873003ac61
142311c832ab0
1511a86dd8343
hex958438a862

642168432738 has 48 divisors (see below), whose sum is σ = 1594096897536. Its totient is φ = 183019132800.

The previous prime is 642168432733. The next prime is 642168432767. The reversal of 642168432738 is 837234861246.

642168432738 is a `hidden beast` number, since 6 + 42 + 168 + 432 + 7 + 3 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (642168432733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6304306 + ... + 6405357.

It is an arithmetic number, because the mean of its divisors is an integer number (33210352032).

Almost surely, 2642168432738 is an apocalyptic number.

642168432738 is an abundant number, since it is smaller than the sum of its proper divisors (951928464798).

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

642168432738 is a wasteful number, since it uses less digits than its factorization.

642168432738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710079 (or 12710076 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 642168432738 in words is "six hundred forty-two billion, one hundred sixty-eight million, four hundred thirty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 401 802 1203 2406 2807 3609 5614 7218 8421 16842 25263 50526 12709663 25419326 38128989 76257978 88967641 114386967 177935282 228773934 266902923 533805846 800708769 1601417538 5096574863 10193149726 15289724589 30579449178 35676024041 45869173767 71352048082 91738347534 107028072123 214056144246 321084216369 642168432738