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45579050888 = 23724122632
BaseRepresentation
bin101010011100101110…
…010001111110001000
311100122111000200112212
4222130232101332020
51221321214112023
632534433124252
73202330353200
oct523456217610
9140574020485
1045579050888
111836a2055a8
128a003b9688
1343b4b835c7
1422c5521400
1512bb6bde78
hexa9cb91f88

45579050888 has 108 divisors (see below), whose sum is σ = 102286265445. Its totient is φ = 18984981120.

The previous prime is 45579050857. The next prime is 45579050903. The reversal of 45579050888 is 88805097554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45579050888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32550654724 + 13028396164 = 180418^2 + 114142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=150962.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173304245 + ... + 173304507.

Almost surely, 245579050888 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 45579050888

45579050888 is an abundant number, since it is smaller than the sum of its proper divisors (56707214557).

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

45579050888 is an equidigital number, since it uses as much as digits as its factorization.

45579050888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 59.

The spelling of 45579050888 in words is "forty-five billion, five hundred seventy-nine million, fifty thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 263 287 328 392 526 574 1052 1148 1681 1841 2009 2104 2296 3362 3682 4018 6724 7364 8036 10783 11767 12887 13448 14728 16072 21566 23534 25774 43132 47068 51548 69169 75481 82369 86264 94136 103096 138338 150962 164738 276676 301924 329476 442103 484183 528367 553352 603848 658952 884206 968366 1056734 1768412 1936732 2113468 2835929 3094721 3389281 3536824 3873464 4226936 5671858 6189442 6778562 11343716 12378884 13557124 19851503 21663047 22687432 24757768 27114248 39703006 43326094 79406012 86652188 116273089 138960521 158812024 173304376 232546178 277921042 465092356 555842084 813911623 930184712 1111684168 1627823246 3255646492 5697381361 6511292984 11394762722 22789525444 45579050888