Search a number
-
+
112601574672 = 24397211114617
BaseRepresentation
bin110100011011110010…
…0111010110100010000
3101202122101201122220120
41220313210322310100
53321102000342142
6123421202310240
711064241410156
oct1506744726420
9352571648816
10112601574672
1143832720724
12199a6058380
13a8064a17c2
1456429153d6
152de06d97ec
hex1a3793ad10

112601574672 has 80 divisors (see below), whose sum is σ = 295281642432. Its totient is φ = 36970536960.

The previous prime is 112601574643. The next prime is 112601574677. The reversal of 112601574672 is 276475106211.

It is a super-2 number, since 2×1126015746722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112601574677) 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, 925108 + ... + 1039724.

Almost surely, 2112601574672 is an apocalyptic number.

112601574672 is a gapful number since it is divisible by the number (12) 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 112601574672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147640821216).

112601574672 is an abundant number, since it is smaller than the sum of its proper divisors (182680067760).

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

112601574672 is a wasteful number, since it uses less digits than its factorization.

112601574672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114936 (or 114930 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 112601574672 in words is "one hundred twelve billion, six hundred one million, five hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 211 291 388 422 582 633 776 844 1164 1266 1552 1688 2328 2532 3376 4656 5064 10128 20467 40934 61401 81868 114617 122802 163736 229234 245604 327472 343851 458468 491208 687702 916936 982416 1375404 1833872 2750808 5501616 11117849 22235698 24184187 33353547 44471396 48368374 66707094 72552561 88942792 96736748 133414188 145105122 177885584 193473496 266828376 290210244 386946992 533656752 580420488 1160840976 2345866139 4691732278 7037598417 9383464556 14075196834 18766929112 28150393668 37533858224 56300787336 112601574672