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115461223164 = 223271074282051
BaseRepresentation
bin110101110001000000…
…1100111001011111100
3102001000200122212011200
41223202001213023330
53342431033120124
6125013034415500
711225144126610
oct1534201471374
9361020585150
10115461223164
1144a6a939991
121a463891590
13ab70a849c1
145834625340
15300b7a7bc9
hex1ae20672fc

115461223164 has 72 divisors (see below), whose sum is σ = 336672056448. Its totient is φ = 32680605600.

The previous prime is 115461223153. The next prime is 115461223201. The reversal of 115461223164 is 461322164511.

115461223164 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 612 + 2 + 31 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114062 + ... + 2167989.

It is an arithmetic number, because the mean of its divisors is an integer number (4676000784).

Almost surely, 2115461223164 is an apocalyptic number.

115461223164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

115461223164 is an abundant number, since it is smaller than the sum of its proper divisors (221210833284).

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

115461223164 is a wasteful number, since it uses less digits than its factorization.

115461223164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282175 (or 4282170 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 115461223164 its reverse (461322164511), we get a palindrome (576783387675).

The spelling of 115461223164 in words is "one hundred fifteen billion, four hundred sixty-one million, two hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8988 13482 26964 4282051 8564102 12846153 17128204 25692306 29974357 38538459 51384612 59948714 77076918 89923071 119897428 154153836 179846142 269769213 359692284 458179457 539538426 916358914 1079076852 1374538371 1832717828 2749076742 3207256199 4123615113 5498153484 6414512398 8247230226 9621768597 12829024796 16494460452 19243537194 28865305791 38487074388 57730611582 115461223164