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112468035792 = 2437383873959
BaseRepresentation
bin110100010111110011…
…1100000100011010000
3101202022002110012000010
41220233213200203100
53320313304121132
6123400032154520
711061030350040
oct1505747404320
9352262405003
10112468035792
1143774301a12
1219969398a40
13a7b4917308
14562ccb3720
152dd3b0c6cc
hex1a2f9e08d0

112468035792 has 80 divisors (see below), whose sum is σ = 332915834880. Its totient is φ = 32049787776.

The previous prime is 112468035781. The next prime is 112468035859. The reversal of 112468035792 is 297530864211.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308292 + ... + 565667.

It is an arithmetic number, because the mean of its divisors is an integer number (4161447936).

It is a 2-persistent number, because it is pandigital, and so is 2⋅112468035792 = 224936071584, but 3⋅112468035792 = 337404107376 is not.

Almost surely, 2112468035792 is an apocalyptic number.

112468035792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112468035792 is an abundant number, since it is smaller than the sum of its proper divisors (220447799088).

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

112468035792 is a wasteful number, since it uses less digits than its factorization.

112468035792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874360 (or 874354 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 112468035792 in words is "one hundred twelve billion, four hundred sixty-eight million, thirty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 383 766 1149 1532 2298 2681 3064 4596 5362 6128 8043 9192 10724 16086 18384 21448 32172 42896 64344 128688 873959 1747918 2621877 3495836 5243754 6117713 6991672 10487508 12235426 13983344 18353139 20975016 24470852 36706278 41950032 48941704 73412556 97883408 146825112 293650224 334726297 669452594 1004178891 1338905188 2008357782 2343084079 2677810376 4016715564 4686168158 5355620752 7029252237 8033431128 9372336316 14058504474 16066862256 18744672632 28117008948 37489345264 56234017896 112468035792