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45323400432354 = 231137103917863283
BaseRepresentation
bin10100100111000101011010…
…01011101100101011100010
312221110212121201000021222120
422103202231023230223202
521420034311002313404
6240221141022245110
712355336054113222
oct1223425513545342
9187425551007876
1045323400432354
1113494600a69020
1250bbb8b126796
131c39c944acab5
14b29942b2a082
15538e741589d9
hex2938ad2ecae2

45323400432354 has 64 divisors (see below), whose sum is σ = 101657805649920. Its totient is φ = 13350302435520.

The previous prime is 45323400432311. The next prime is 45323400432379.

45323400432354 is nontrivially palindromic in base 10.

45323400432354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6394404 + ... + 11468879.

It is an arithmetic number, because the mean of its divisors is an integer number (1588403213280).

Almost surely, 245323400432354 is an apocalyptic number.

45323400432354 is an abundant number, since it is smaller than the sum of its proper divisors (56334405217566).

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

45323400432354 is a wasteful number, since it uses less digits than its factorization.

45323400432354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17864375.

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 45323400 and 432354, that added together give a palindrome (45755754).

The spelling of 45323400432354 in words is "forty-five trillion, three hundred twenty-three billion, four hundred million, four hundred thirty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1039 1221 2078 2442 3117 6234 11429 22858 34287 38443 68574 76886 115329 230658 422873 845746 1268619 2537238 17863283 35726566 53589849 107179698 196496113 392992226 589488339 660941471 1178976678 1321882942 1982824413 3965648826 7270356181 14540712362 18559951037 21811068543 37119902074 43622137086 55679853111 111359706222 204159461407 408318922814 612478384221 686718188369 1224956768442 1373436376738 2060154565107 4120309130214 7553900072059 15107800144118 22661700216177 45323400432354