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45675042266376 = 23347142112591873
BaseRepresentation
bin10100110001010100011001…
…01010110101110100001000
312222201111021020011022020000
422120222030222311310020
521441314441310011001
6241050454051203000
712422625061305465
oct1230521452656410
9188644236138200
1045675042266376
111360a749682596
1251581672a6460
131c641a4270733
14b3c98066266c
155431a53c1a86
hex298a8cab5d08

45675042266376 has 320 divisors, whose sum is σ = 130215207830400. Its totient is φ = 14955039590400.

The previous prime is 45675042266323. The next prime is 45675042266383. The reversal of 45675042266376 is 67366224057654.

45675042266376 is a `hidden beast` number, since 4 + 5 + 67 + 504 + 2 + 2 + 6 + 63 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24386033376 + ... + 24386035248.

It is an arithmetic number, because the mean of its divisors is an integer number (406922524470).

Almost surely, 245675042266376 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 45675042266376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65107603915200).

45675042266376 is an abundant number, since it is smaller than the sum of its proper divisors (84540165564024).

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

45675042266376 is a wasteful number, since it uses less digits than its factorization.

45675042266376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 45675042266376 in words is "forty-five trillion, six hundred seventy-five billion, forty-two million, two hundred sixty-six thousand, three hundred seventy-six".