Search a number
-
+
64646113536 = 283252972
BaseRepresentation
bin111100001101001101…
…010110100100000000
320011212022001211100100
4330031031112210000
52024343401113121
645410434322400
74445663620134
oct741515264400
9204768054310
1064646113536
1125464055a14
1210641a29400
1361331a18b4
1431b39553c4
151a355a4026
hexf0d356900

64646113536 has 81 divisors (see below), whose sum is σ = 186425877001. Its totient is φ = 21544636416.

The previous prime is 64646113447. The next prime is 64646113591. The reversal of 64646113536 is 63531164646.

The square root of 64646113536 is 254256.

It is a perfect power (a square), and thus also a powerful number.

64646113536 is a `hidden beast` number, since 6 + 46 + 4 + 61 + 13 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52752902400 + 11893211136 = 229680^2 + 109056^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64646113491 and 64646113500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12201640 + ... + 12206936.

Almost surely, 264646113536 is an apocalyptic number.

64646113536 is the 254256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64646113536

64646113536 is an abundant number, since it is smaller than the sum of its proper divisors (121779763465).

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

64646113536 is an frugal number, since it uses more digits than its factorization.

64646113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 5302 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 64646113536 in words is "sixty-four billion, six hundred forty-six million, one hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5297 10594 15891 21188 31782 42376 47673 63564 84752 95346 127128 169504 190692 254256 339008 381384 508512 678016 762768 1017024 1356032 1525536 2034048 3051072 4068096 6102144 12204288 28058209 56116418 84174627 112232836 168349254 224465672 252523881 336698508 448931344 505047762 673397016 897862688 1010095524 1346794032 1795725376 2020191048 2693588064 3591450752 4040382096 5387176128 7182901504 8080764192 10774352256 16161528384 21548704512 32323056768 64646113536