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245655194204160 = 211385133143211
BaseRepresentation
bin110111110110110000001110…
…100101100111100000000000
31012012210101222212011100000000
4313312300032211213200000
5224144303314204013120
62230244234400000000
7102513000501106566
oct6766601645474000
91165711885140000
10245655194204160
1171300867a01a34
1223675757600000
13a70c2544818b0
144493abc231a36
151d600c6c08990
hexdf6c0e967800

245655194204160 has 3456 divisors, whose sum is σ = 1010440952801280. Its totient is φ = 56886578380800.

The previous prime is 245655194204093. The next prime is 245655194204257. The reversal of 245655194204160 is 61402491556542.

245655194204160 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 5 + 51 + 9 + 420 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×2456551942041602 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 245655194204097 and 245655194204106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1164242626455 + ... + 1164242626665.

It is an arithmetic number, because the mean of its divisors is an integer number (292372960880).

Almost surely, 2245655194204160 is an apocalyptic number.

245655194204160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245655194204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505220476400640).

245655194204160 is an abundant number, since it is smaller than the sum of its proper divisors (764785758597120).

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

245655194204160 is an equidigital number, since it uses as much as digits as its factorization.

245655194204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 245655194204160 in words is "two hundred forty-five trillion, six hundred fifty-five billion, one hundred ninety-four million, two hundred four thousand, one hundred sixty".