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100406041624 = 23710117752129
BaseRepresentation
bin101110110000010101…
…0101001110000011000
3100121011110200101122101
41131200222221300120
53121112421312444
6114043105533144
710153104162220
oct1354052516030
9317143611571
10100406041624
1139644658199
12175619441b4
139611987c65
144c06d59080
152929be33d4
hex1760aa9c18

100406041624 has 32 divisors (see below), whose sum is σ = 217286071200. Its totient is φ = 42605107200.

The previous prime is 100406041601. The next prime is 100406041651. The reversal of 100406041624 is 426140604001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 100406041592 and 100406041601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8870409 + ... + 8881720.

It is an arithmetic number, because the mean of its divisors is an integer number (6790189725).

Almost surely, 2100406041624 is an apocalyptic number.

100406041624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100406041624 is an abundant number, since it is smaller than the sum of its proper divisors (116880029576).

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

100406041624 is a wasteful number, since it uses less digits than its factorization.

100406041624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17752243 (or 17752239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100406041624 its reverse (426140604001), we get a palindrome (526546645625).

The spelling of 100406041624 in words is "one hundred billion, four hundred six million, forty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 5656 17752129 35504258 71008516 124264903 142017032 248529806 497059612 994119224 1792965029 3585930058 7171860116 12550755203 14343720232 25101510406 50203020812 100406041624