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100006472644 = 22132121632
BaseRepresentation
bin101110100100011011…
…0011010101111000100
3100120010121211012001021
41131020312122233010
53114303124111034
6113535313440524
710140152664121
oct1351066325704
9316117735037
10100006472644
113945a0570a1
121746bb70144
139579c67900
144ba9c67748
152904ab76b4
hex1748d9abc4

100006472644 has 27 divisors (see below), whose sum is σ = 189524888973. Its totient is φ = 46153038672.

The previous prime is 100006472641. The next prime is 100006472647. The reversal of 100006472644 is 446274600001.

The square root of 100006472644 is 316238.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (100006472641) and next prime (100006472647).

It can be written as a sum of positive squares in only one way, i.e., 14793856900 + 85212615744 = 121630^2 + 291912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100006472641) 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 8 ways as a sum of consecutive naturals, for example, 8216107 + ... + 8228269.

Almost surely, 2100006472644 is an apocalyptic number.

100006472644 is the 316238-th square number.

It is an amenable number.

100006472644 is a deficient number, since it is larger than the sum of its proper divisors (89518416329).

100006472644 is an frugal number, since it uses more digits than its factorization.

100006472644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24356 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 100006472644 in words is "one hundred billion, six million, four hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 52 169 338 676 12163 24326 48652 158119 316238 632476 2055547 4111094 8222188 147938569 295877138 591754276 1923201397 3846402794 7692805588 25001618161 50003236322 100006472644