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112412470456 = 231113799712823
BaseRepresentation
bin110100010110001001…
…1100010110010111000
3101202011012220011200201
41220230103202302320
53320210043023311
6123350325211544
711056454143006
oct1505423426270
9352135804621
10112412470456
11437459aa950
1219952860bb4
13a7a6260a10
14562576ba76
152dcdcd39c1
hex1a2c4e2cb8

112412470456 has 128 divisors (see below), whose sum is σ = 253361203200. Its totient is φ = 46085345280.

The previous prime is 112412470453. The next prime is 112412470463. The reversal of 112412470456 is 654074214211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112412470453) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8760061 + ... + 8772883.

It is an arithmetic number, because the mean of its divisors is an integer number (1979384400).

Almost surely, 2112412470456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112412470456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126680601600).

112412470456 is an abundant number, since it is smaller than the sum of its proper divisors (140948732744).

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

112412470456 is a wasteful number, since it uses less digits than its factorization.

112412470456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 112412470456 its reverse (654074214211), we get a palindrome (766486684667).

The spelling of 112412470456 in words is "one hundred twelve billion, four hundred twelve million, four hundred seventy thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 79 88 97 104 143 158 194 286 316 388 572 632 776 869 1027 1067 1144 1261 1738 2054 2134 2522 3476 4108 4268 5044 6952 7663 8216 8536 10088 11297 12823 13871 15326 22594 25646 27742 30652 45188 51292 55484 61304 84293 90376 99619 102584 110968 141053 166699 168586 199238 282106 333398 337172 398476 564212 666796 674344 796952 1013017 1095809 1128424 1243831 1333592 1833689 2026034 2191618 2487662 3667378 4052068 4383236 4975324 7334756 8104136 8766472 9950648 11143187 13169221 13682141 14669512 16169803 22286374 26338442 27364282 32339606 44572748 52676884 54728564 64679212 89145496 98262649 105353768 109457128 129358424 144861431 177867833 196525298 289722862 355735666 393050596 579445724 711471332 786101192 1080889139 1158891448 1277414437 1422942664 2161778278 2554828874 4323556556 5109657748 8647113112 10219315496 14051558807 28103117614 56206235228 112412470456