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245165412411264 = 2734751134382571
BaseRepresentation
bin110111101111101000000101…
…010100010110011110000000
31012011001120210010022022202110
4313233220011110112132000
5224113242231034130024
62225231234032215320
7102432421316420412
oct6757500524263600
91164046703268673
10245165412411264
11711320819477a4
12235b684869a540
13a6a4ccb2b1917
1444780d81329b2
151d524ad1d7629
hexdefa05516780

245165412411264 has 64 divisors (see below), whose sum is σ = 651357701786880. Its totient is φ = 81704602560000.

The previous prime is 245165412411259. The next prime is 245165412411313. The reversal of 245165412411264 is 462114214561542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 65366902 + ... + 69015669.

It is an arithmetic number, because the mean of its divisors is an integer number (10177464090420).

Almost surely, 2245165412411264 is an apocalyptic number.

245165412411264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245165412411264 is an abundant number, since it is smaller than the sum of its proper divisors (406192289375616).

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

245165412411264 is a wasteful number, since it uses less digits than its factorization.

245165412411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134387339 (or 134387327 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 245165412411264 in words is "two hundred forty-five trillion, one hundred sixty-five billion, four hundred twelve million, four hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4751 9502 14253 19004 28506 38008 57012 76016 114024 152032 228048 304064 456096 608128 912192 1824384 134382571 268765142 403147713 537530284 806295426 1075060568 1612590852 2150121136 3225181704 4300242272 6450363408 8600484544 12900726816 17200969088 25801453632 51602907264 638451594821 1276903189642 1915354784463 2553806379284 3830709568926 5107612758568 7661419137852 10215225517136 15322838275704 20430451034272 30645676551408 40860902068544 61291353102816 81721804137088 122582706205632 245165412411264