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245100115040520 = 233512054471694393
BaseRepresentation
bin110111101110101011010001…
…010010101001100100001000
31012010211100020102210012110210
4313232223101102221210020
5224111210013422244040
62225141234411041120
7102424620224056215
oct6756532122514410
91163740212705423
10245100115040520
1171107414214693
12235a60647401a0
13a69bac3208a3c
144474ca1cd0b0c
151d5093a88d480
hexdeead14a9908

245100115040520 has 64 divisors (see below), whose sum is σ = 735301389064320. Its totient is φ = 65359937882624.

The previous prime is 245100115040489. The next prime is 245100115040537. The reversal of 245100115040520 is 25040511001542.

It is a super-3 number, since 3×2451001150405203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143806444 + ... + 145500836.

It is an arithmetic number, because the mean of its divisors is an integer number (11489084204130).

Almost surely, 2245100115040520 is an apocalyptic number.

245100115040520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245100115040520 is an abundant number, since it is smaller than the sum of its proper divisors (490201274023800).

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

245100115040520 is a wasteful number, since it uses less digits than its factorization.

245100115040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899854 (or 2899850 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 245100115040520 in words is "two hundred forty-five trillion, one hundred billion, one hundred fifteen million, forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1205447 1694393 2410894 3388786 3616341 4821788 5083179 6027235 6777572 7232682 8471965 9643576 10166358 12054470 13555144 14465364 16943930 18081705 20332716 24108940 25415895 28930728 33887860 36163410 40665432 48217880 50831790 67775720 72326820 101663580 144653640 203327160 2042500958671 4085001917342 6127502876013 8170003834684 10212504793355 12255005752026 16340007669368 20425009586710 24510011504052 30637514380065 40850019173420 49020023008104 61275028760130 81700038346840 122550057520260 245100115040520