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64555145352 = 233210325733871
BaseRepresentation
bin111100000111110010…
…010101100010001000
320011121221220011110100
4330013302111202020
52024202104122402
645353424445400
74443510452565
oct740762254210
9204557804410
1064555145352
11254177731a5
1210617479860
13611a3a1079
1431a583586c
151a2c5d571c
hexf07c95888

64555145352 has 96 divisors (see below), whose sum is σ = 177226433280. Its totient is φ = 21225922560.

The previous prime is 64555145323. The next prime is 64555145363. The reversal of 64555145352 is 25354155546.

64555145352 is a `hidden beast` number, since 6 + 4 + 5 + 551 + 45 + 3 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 64555145298 and 64555145307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1888977 + ... + 1922847.

It is an arithmetic number, because the mean of its divisors is an integer number (1846108680).

Almost surely, 264555145352 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 64555145352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88613216640).

64555145352 is an abundant number, since it is smaller than the sum of its proper divisors (112671287928).

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

64555145352 is a wasteful number, since it uses less digits than its factorization.

64555145352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34243 (or 34236 counting only the distinct ones).

The product of its digits is 1800000, while the sum is 45.

The spelling of 64555145352 in words is "sixty-four billion, five hundred fifty-five million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 257 309 412 514 618 771 824 927 1028 1236 1542 1854 2056 2313 2472 3084 3708 4626 6168 7416 9252 18504 26471 33871 52942 67742 79413 101613 105884 135484 158826 203226 211768 238239 270968 304839 317652 406452 476478 609678 635304 812904 952956 1219356 1905912 2438712 3488713 6977426 8704847 10466139 13954852 17409694 20932278 26114541 27909704 31398417 34819388 41864556 52229082 62796834 69638776 78343623 83729112 104458164 125593668 156687246 208916328 251187336 313374492 626748984 896599241 1793198482 2689797723 3586396964 5379595446 7172793928 8069393169 10759190892 16138786338 21518381784 32277572676 64555145352