Search a number
-
+
100749206832 = 2433770138089
BaseRepresentation
bin101110111010100011…
…1101110010100110000
3100122001101101222210220
41131311013232110300
53122313244104312
6114141125053040
710164442061661
oct1356507562460
9318041358726
10100749206832
11398003342aa
1217638857180
139667aba1b1
144c3a767368
152949dcbc8c
hex17751ee530

100749206832 has 80 divisors (see below), whose sum is σ = 267374241120. Its totient is φ = 32666720256.

The previous prime is 100749206819. The next prime is 100749206863. The reversal of 100749206832 is 238602947001.

100749206832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12451044 + ... + 12459132.

It is an arithmetic number, because the mean of its divisors is an integer number (3342178014).

Almost surely, 2100749206832 is an apocalyptic number.

100749206832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100749206832 is an abundant number, since it is smaller than the sum of its proper divisors (166625034288).

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

100749206832 is a wasteful number, since it uses less digits than its factorization.

100749206832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15150 (or 15144 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 100749206832 in words is "one hundred billion, seven hundred forty-nine million, two hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 7013 8089 14026 16178 21039 24267 28052 32356 42078 48534 56104 64712 84156 97068 112208 129424 168312 194136 259481 299293 336624 388272 518962 598586 778443 897879 1037924 1197172 1556886 1795758 2075848 2394344 3113772 3591516 4151696 4788688 6227544 7183032 12455088 14366064 56728157 113456314 170184471 226912628 340368942 453825256 680737884 907650512 1361475768 2098941809 2722951536 4197883618 6296825427 8395767236 12593650854 16791534472 25187301708 33583068944 50374603416 100749206832