Search a number
-
+
245456593164 = 223310728377487
BaseRepresentation
bin1110010010011001011…
…0100110000100001100
3212110120021212212122000
43210212112212010030
513010143341440124
6304432230352300
723506433421456
oct3444626460414
9773507785560
10245456593164
1195108936472
123b6a2abb690
131a1b99c7c93
14bc472472d6
1565b90046c9
hex39265a610c

245456593164 has 96 divisors (see below), whose sum is σ = 642628546560. Its totient is φ = 81014809536.

The previous prime is 245456593163. The next prime is 245456593171. The reversal of 245456593164 is 461395654542.

245456593164 is a `hidden beast` number, since 2 + 4 + 5 + 45 + 6 + 593 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 245456593164.

It is not an unprimeable number, because it can be changed into a prime (245456593163) 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, 32780629 + ... + 32788115.

It is an arithmetic number, because the mean of its divisors is an integer number (6694047360).

Almost surely, 2245456593164 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 245456593164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321314273280).

245456593164 is an abundant number, since it is smaller than the sum of its proper divisors (397171953396).

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

245456593164 is a wasteful number, since it uses less digits than its factorization.

245456593164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10444 (or 10436 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 245456593164 in words is "two hundred forty-five billion, four hundred fifty-six million, five hundred ninety-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2837 2889 3852 5674 5778 7487 8511 11348 11556 14974 17022 22461 25533 29948 34044 44922 51066 67383 76599 89844 102132 134766 153198 202149 269532 303559 306396 404298 607118 801109 808596 910677 1214236 1602218 1821354 2403327 2732031 3204436 3642708 4806654 5464062 7209981 8196093 9613308 10928124 14419962 16392186 21240619 21629943 28839924 32784372 42481238 43259886 63721857 84962476 86519772 127443714 191165571 254887428 382331142 573496713 764662284 1146993426 2272746233 2293986852 4545492466 6818238699 9090984932 13636477398 20454716097 27272954796 40909432194 61364148291 81818864388 122728296582 245456593164