Search a number
-
+
245590860086256 = 24367105597232249
BaseRepresentation
bin110111110101110100010011…
…111110011011101111110000
31012012120020221022011112012110
4313311310103332123233300
5224142230040140230011
62230154514504325320
7102505232313116616
oct6765642376335760
91165506838145173
10245590860086256
1171286553a83a53
12236651a2173840
13a706170b1aac9
144490937cd36b6
151d5d5adc32ba6
hexdf5d13f9bbf0

245590860086256 has 80 divisors (see below), whose sum is σ = 643973425920000. Its totient is φ = 80634126549504.

The previous prime is 245590860086227. The next prime is 245590860086263. The reversal of 245590860086256 is 652680068095542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30341620 + ... + 37573868.

It is an arithmetic number, because the mean of its divisors is an integer number (8049667824000).

Almost surely, 2245590860086256 is an apocalyptic number.

It is an amenable number.

245590860086256 is an abundant number, since it is smaller than the sum of its proper divisors (398382565833744).

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

245590860086256 is a wasteful number, since it uses less digits than its factorization.

245590860086256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242886 (or 7242880 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 66.

The spelling of 245590860086256 in words is "two hundred forty-five trillion, five hundred ninety billion, eight hundred sixty million, eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 10559 21118 31677 42236 63354 84472 126708 168944 253416 506832 707453 1414906 2122359 2829812 4244718 5659624 7232249 8489436 11319248 14464498 16978872 21696747 28928996 33957744 43393494 57857992 86786988 115715984 173573976 347147952 484560683 969121366 1453682049 1938242732 2907364098 3876485464 5814728196 7752970928 11629456392 23258912784 76365317191 152730634382 229095951573 305461268764 458191903146 610922537528 916383806292 1221845075056 1832767612584 3665535225168 5116476251797 10232952503594 15349428755391 20465905007188 30698857510782 40931810014376 61397715021564 81863620028752 122795430043128 245590860086256