Search a number
-
+
64650971924388 = 223337152310623061
BaseRepresentation
bin11101011001100101110100…
…01101110100011110100100
322110220120110101121022122000
432230302322031310132210
531433220142303040023
6345300125124005300
716421610232131243
oct1654627215643644
9273816411538560
1064650971924388
1119666361227513
12730195b830830
132a0c739531215
1411d71a376a95a
15771ac0758243
hex3accba3747a4

64650971924388 has 96 divisors (see below), whose sum is σ = 172256774632320. Its totient is φ = 20954113326720.

The previous prime is 64650971924387. The next prime is 64650971924467. The reversal of 64650971924388 is 88342917905646.

64650971924388 is a `hidden beast` number, since 6 + 4 + 6 + 50 + 9 + 7 + 192 + 4 + 388 = 666.

It is not an unprimeable number, because it can be changed into a prime (64650971924387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774378 + ... + 11397438.

It is an arithmetic number, because the mean of its divisors is an integer number (1794341402420).

It is a 1-persistent number, because it is pandigital, but 2⋅64650971924388 = 129301943848776 is not.

Almost surely, 264650971924388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64650971924388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86128387316160).

64650971924388 is an abundant number, since it is smaller than the sum of its proper divisors (107605802707932).

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

64650971924388 is a wasteful number, since it uses less digits than its factorization.

64650971924388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624634 (or 10624626 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 64650971924388 in words is "sixty-four trillion, six hundred fifty billion, nine hundred seventy-one million, nine hundred twenty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1523 1998 3046 3996 4569 6092 9138 13707 18276 27414 41121 54828 56351 82242 112702 164484 169053 225404 338106 507159 676212 1014318 1521477 2028636 3042954 6085908 10623061 21246122 31869183 42492244 63738366 95607549 127476732 191215098 286822647 382430196 393053257 573645294 786106514 1147290588 1179159771 1572213028 2358319542 3537479313 4716639084 7074958626 10612437939 14149917252 16178921903 21224875878 32357843806 42449751756 48536765709 64715687612 97073531418 145610297127 194147062836 291220594254 436830891381 582441188508 598620110411 873661782762 1197240220822 1747323565524 1795860331233 2394480441644 3591720662466 5387580993699 7183441324932 10775161987398 16162742981097 21550323974796 32325485962194 64650971924388