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112998430848 = 2736712734583
BaseRepresentation
bin110100100111100111…
…0110011100010000000
3101210200001111001020110
41221033032303202000
53322410044241343
6123524420311320
711110130546232
oct1511716634200
9353601431213
10112998430848
1143a16739636
1219a96b42540
13a86a782144
14567d4dc252
152e1547b833
hex1a4f3b3880

112998430848 has 128 divisors (see below), whose sum is σ = 307039518720. Its totient is φ = 36810740736.

The previous prime is 112998430847. The next prime is 112998430879. The reversal of 112998430848 is 848034899211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1129984308482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112998430843) 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 15 ways as a sum of consecutive naturals, for example, 3250165 + ... + 3284747.

It is an arithmetic number, because the mean of its divisors is an integer number (2398746240).

Almost surely, 2112998430848 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 112998430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153519759360).

112998430848 is an abundant number, since it is smaller than the sum of its proper divisors (194041087872).

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

112998430848 is a wasteful number, since it uses less digits than its factorization.

112998430848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 112998430848 in words is "one hundred twelve billion, nine hundred ninety-eight million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 127 128 134 192 201 254 268 381 384 402 508 536 762 804 1016 1072 1524 1608 2032 2144 3048 3216 4064 4288 6096 6432 8128 8509 8576 12192 12864 16256 17018 24384 25527 25728 34036 34583 48768 51054 68072 69166 102108 103749 136144 138332 204216 207498 272288 276664 408432 414996 544576 553328 816864 829992 1089152 1106656 1633728 1659984 2213312 2317061 3267456 3319968 4392041 4426624 4634122 6639936 6951183 8784082 9268244 13176123 13279872 13902366 17568164 18536488 26352246 27804732 35136328 37072976 52704492 55609464 70272656 74145952 105408984 111218928 140545312 148291904 210817968 222437856 281090624 294266747 296583808 421635936 444875712 562181248 588533494 843271872 882800241 889751424 1177066988 1686543744 1765600482 2354133976 3531200964 4708267952 7062401928 9416535904 14124803856 18833071808 28249607712 37666143616 56499215424 112998430848