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112354387968 = 2113103117737
BaseRepresentation
bin110100010100011010…
…1111110100000000000
3101202000011121021111110
41220220311332200000
53320100210403333
6123340452243320
711055150353214
oct1505065764000
9352004537443
10112354387968
1143716139699
1219937310540
13a797205794
14561bb6c944
152dc8b5e063
hex1a28d7e800

112354387968 has 96 divisors (see below), whose sum is σ = 299845990080. Its totient is φ = 37413027840.

The previous prime is 112354387933. The next prime is 112354387973. The reversal of 112354387968 is 869783453211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6325596 + ... + 6343332.

It is an arithmetic number, because the mean of its divisors is an integer number (3123395730).

Almost surely, 2112354387968 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 112354387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149922995040).

112354387968 is an abundant number, since it is smaller than the sum of its proper divisors (187491602112).

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

112354387968 is a wasteful number, since it uses less digits than its factorization.

112354387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18793 (or 18773 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 112354387968 in words is "one hundred twelve billion, three hundred fifty-four million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1031 1536 2048 2062 3072 3093 4124 6144 6186 8248 12372 16496 17737 24744 32992 35474 49488 53211 65984 70948 98976 106422 131968 141896 197952 212844 263936 283792 395904 425688 527872 567584 791808 851376 1055744 1135168 1583616 1702752 2111488 2270336 3167232 3405504 4540672 6334464 6811008 9081344 13622016 18162688 18286847 27244032 36325376 36573694 54488064 54860541 73147388 108976128 109721082 146294776 219442164 292589552 438884328 585179104 877768656 1170358208 1755537312 2340716416 3511074624 4681432832 7022149248 9362865664 14044298496 18725731328 28088596992 37451462656 56177193984 112354387968