Search a number
-
+
2100044015256 = 23311113202734729
BaseRepresentation
bin11110100011110100011…
…000001010011010011000
321102202120200022101210110
4132203310120022122120
5233401342231442011
64244425155244320
7304503022413645
oct36436430123230
97382520271713
102100044015256
1173a69510a230
1229b0045a96a0
13123058215135
14738dd6cadcc
153996100dba6
hex1e8f460a698

2100044015256 has 128 divisors (see below), whose sum is σ = 5781094675200. Its totient is φ = 630415994880.

The previous prime is 2100044015189. The next prime is 2100044015327. The reversal of 2100044015256 is 6525104400012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60452100 + ... + 60486828.

It is an arithmetic number, because the mean of its divisors is an integer number (45164802150).

Almost surely, 22100044015256 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 2100044015256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890547337600).

2100044015256 is an abundant number, since it is smaller than the sum of its proper divisors (3681050659944).

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

2100044015256 is a wasteful number, since it uses less digits than its factorization.

2100044015256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36889 (or 36885 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2100044015256 its reverse (6525104400012), we get a palindrome (8625148415268).

The spelling of 2100044015256 in words is "two trillion, one hundred billion, forty-four million, fifteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 132 226 264 339 452 678 904 1243 1356 2027 2486 2712 3729 4054 4972 6081 7458 8108 9944 12162 14916 16216 22297 24324 29832 34729 44594 48648 66891 69458 89188 104187 133782 138916 178376 208374 229051 267564 277832 382019 416748 458102 535128 687153 764038 833496 916204 1146057 1374306 1528076 1832408 2292114 2519561 2748612 3056152 3924377 4584228 5039122 5497224 7558683 7848754 9168456 10078244 11773131 15117366 15697508 20156488 23546262 30234732 31395016 43168147 47092524 60469464 70395683 86336294 94185048 129504441 140791366 172672588 211187049 259008882 281582732 345345176 422374098 518017764 563165464 774352513 844748196 1036035528 1548705026 1689496392 2323057539 3097410052 4646115078 6194820104 7954712179 9292230156 15909424358 18584460312 23864136537 31818848716 47728273074 63637697432 87501833969 95456546148 175003667938 190913092296 262505501907 350007335876 525011003814 700014671752 1050022007628 2100044015256