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112152742272 = 2732113861547
BaseRepresentation
bin110100001110011010…
…0110000100110000000
3101201111010011121121100
41220130310300212000
53314142100223042
6123304450254400
711050151402664
oct1503464604600
9351433147540
10112152742272
114362233225a
121989b887400
13a7644c33bc
1455dd07c8a4
152db60cc24c
hex1a1cd30980

112152742272 has 96 divisors (see below), whose sum is σ = 325587604680. Its totient is φ = 37053370368.

The previous prime is 112152742267. The next prime is 112152742277. The reversal of 112152742272 is 272247251211.

112152742272 is a `hidden beast` number, since 1 + 1 + 21 + 527 + 42 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (112152742267) and next prime (112152742277).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112152742277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300598 + ... + 560949.

Almost surely, 2112152742272 is an apocalyptic number.

112152742272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112152742272 is an abundant number, since it is smaller than the sum of its proper divisors (213434862408).

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

112152742272 is a wasteful number, since it uses less digits than its factorization.

112152742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861680 (or 861665 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

Adding to 112152742272 its reverse (272247251211), we get a palindrome (384399993483).

The spelling of 112152742272 in words is "one hundred twelve billion, one hundred fifty-two million, seven hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 904 1017 1152 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 14464 16272 21696 32544 43392 65088 130176 861547 1723094 2584641 3446188 5169282 6892376 7753923 10338564 13784752 15507846 20677128 27569504 31015692 41354256 55139008 62031384 82708512 97354811 110278016 124062768 165417024 194709622 248125536 292064433 330834048 389419244 496251072 584128866 778838488 876193299 992502144 1168257732 1557676976 1752386598 2336515464 3115353952 3504773196 4673030928 6230707904 7009546392 9346061856 12461415808 14019092784 18692123712 28038185568 37384247424 56076371136 112152742272