Search a number
-
+
112728403116 = 223271512962483
BaseRepresentation
bin110100011111100100…
…0101110110010101100
3101202222020101012211100
41220333020232302230
53321331432344431
6123441532523100
711100341421330
oct1507710566254
9352866335740
10112728403116
114389827681a
1219a20620490
13a826849814
1456556cb7c0
152deb8dd4e6
hex1a3f22ecac

112728403116 has 72 divisors (see below), whose sum is σ = 327816629504. Its totient is φ = 31994805600.

The previous prime is 112728403049. The next prime is 112728403121. The reversal of 112728403116 is 611304827211.

112728403116 is a `hidden beast` number, since 112 + 7 + 28 + 403 + 116 = 666.

112728403116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443190 + ... + 1519293.

Almost surely, 2112728403116 is an apocalyptic number.

It is an amenable number.

112728403116 is an abundant number, since it is smaller than the sum of its proper divisors (215088226388).

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

112728403116 is a wasteful number, since it uses less digits than its factorization.

112728403116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962651 (or 2962646 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 112728403116 in words is "one hundred twelve billion, seven hundred twenty-eight million, four hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 453 604 906 1057 1359 1812 2114 2718 3171 4228 5436 6342 9513 12684 19026 38052 2962483 5924966 8887449 11849932 17774898 20737381 26662347 35549796 41474762 53324694 62212143 82949524 106649388 124424286 186636429 248848572 373272858 447334933 746545716 894669866 1342004799 1789339732 2684009598 3131344531 4026014397 5368019196 6262689062 8052028794 9394033593 12525378124 16104057588 18788067186 28182100779 37576134372 56364201558 112728403116