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112407457552 = 24131635935591
BaseRepresentation
bin110100010110000000…
…0011010111100010000
3101202010212110111021121
41220230000122330100
53320202302120202
6123350025532024
711056363424065
oct1505400327420
9352125414247
10112407457552
1143743096655
1219951044014
13a7a51c70c0
145624c24c6c
152dcd643537
hex1a2c01af10

112407457552 has 80 divisors (see below), whose sum is σ = 236421618048. Its totient is φ = 51465922560.

The previous prime is 112407457489. The next prime is 112407457553. The reversal of 112407457552 is 255754704211.

It is a junction number, because it is equal to n+sod(n) for n = 112407457499 and 112407457508.

It is not an unprimeable number, because it can be changed into a prime (112407457553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20102277 + ... + 20107867.

Almost surely, 2112407457552 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 112407457552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118210809024).

112407457552 is an abundant number, since it is smaller than the sum of its proper divisors (124014160496).

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

112407457552 is a wasteful number, since it uses less digits than its factorization.

112407457552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 43.

The spelling of 112407457552 in words is "one hundred twelve billion, four hundred seven million, four hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 326 593 652 1186 1304 2119 2372 2608 4238 4744 5591 7709 8476 9488 11182 15418 16952 22364 30836 33904 44728 61672 72683 89456 96659 123344 145366 193318 290732 386636 581464 773272 911333 1162928 1256567 1546544 1822666 2513134 3315463 3645332 5026268 6630926 7290664 10052536 11847329 13261852 14581328 20105072 23694658 26523704 43101019 47389316 53047408 86202038 94778632 172404076 189557264 344808152 540420469 689616304 1080840938 2161681876 4323363752 7025466097 8646727504 14050932194 28101864388 56203728776 112407457552