Search a number
-
+
10127228856 = 2333717236619
BaseRepresentation
bin10010110111010000…
…10011111110111000
3222010210011112022020
421123220103332320
5131220032310411
64352525354440
7505651011363
oct113350237670
928123145266
1010127228856
114327613a28
121b67708a20
13c55175814
146c10010da
153e4140606
hex25ba13fb8

10127228856 has 64 divisors (see below), whose sum is σ = 26021366400. Its totient is φ = 3282104448.

The previous prime is 10127228849. The next prime is 10127228857. The reversal of 10127228856 is 65882272101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127228857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1526715 + ... + 1533333.

It is an arithmetic number, because the mean of its divisors is an integer number (406583850).

Almost surely, 210127228856 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 10127228856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010683200).

10127228856 is an abundant number, since it is smaller than the sum of its proper divisors (15894137544).

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

10127228856 is a wasteful number, since it uses less digits than its factorization.

10127228856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 10127228856 in words is "ten billion, one hundred twenty-seven million, two hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1723 3446 5169 6619 6892 10338 13238 13784 19857 20676 26476 39714 41352 52952 63751 79428 127502 158856 191253 244903 255004 382506 489806 510008 734709 765012 979612 1469418 1530024 1959224 2938836 5877672 11404537 22809074 34213611 45618148 68427222 91236296 136854444 273708888 421967869 843935738 1265903607 1687871476 2531807214 3375742952 5063614428 10127228856