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112266430976 = 297435912347
BaseRepresentation
bin110100010001110011…
…0011100101000000000
3101201210001002121012002
41220203212130220000
53314410201242401
6123324031123132
711053031626640
oct1504346345000
9351701077162
10112266430976
1143680523267
12199119734a8
13a781c1a71b
1456101d4520
152dc1087a6b
hex1a2399ca00

112266430976 has 160 divisors (see below), whose sum is σ = 266787924480. Its totient is φ = 46194978816.

The previous prime is 112266430961. The next prime is 112266430981. The reversal of 112266430976 is 679034662211.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112266430976.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9086435 + ... + 9098781.

It is an arithmetic number, because the mean of its divisors is an integer number (1667424528).

Almost surely, 2112266430976 is an apocalyptic number.

112266430976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112266430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133393962240).

112266430976 is an abundant number, since it is smaller than the sum of its proper divisors (154521493504).

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

112266430976 is an equidigital number, since it uses as much as digits as its factorization.

112266430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 112266430976 in words is "one hundred twelve billion, two hundred sixty-six million, four hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 59 64 86 112 118 128 172 224 236 256 301 344 413 448 472 512 602 688 826 896 944 1204 1376 1652 1792 1888 2408 2537 2752 3304 3584 3776 4816 5074 5504 6608 7552 9632 10148 11008 12347 13216 15104 17759 19264 20296 22016 24694 26432 30208 35518 38528 40592 49388 52864 71036 77056 81184 86429 98776 105728 142072 154112 162368 172858 197552 211456 284144 324736 345716 395104 530921 568288 649472 691432 728473 790208 1061842 1136576 1298944 1382864 1456946 1580416 2123684 2273152 2765728 2913892 3160832 3716447 4247368 4546304 5099311 5531456 5827784 6321664 7432894 8494736 9092608 10198622 11062912 11655568 14865788 16989472 20397244 22125824 23311136 29731576 31324339 33978944 40794488 44251648 46622272 59463152 62648678 67957888 81588976 93244544 118926304 125297356 135915776 163177952 186489088 219270373 237852608 250594712 271831552 326355904 372978176 438540746 475705216 501189424 652711808 877081492 951410432 1002378848 1305423616 1754162984 1902820864 2004757696 2610847232 3508325968 4009515392 7016651936 8019030784 14033303872 16038061568 28066607744 56133215488 112266430976