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45817581568 = 212116731511
BaseRepresentation
bin101010101010111100…
…001101000000000000
311101021002212022010111
4222222330031000000
51222313300102233
633014233441104
73211255006003
oct525274150000
9141232768114
1045817581568
11184819151a0
128a68270194
13442240b715
14230909353a
1512d25d9acd
hexaaaf0d000

45817581568 has 104 divisors (see below), whose sum is σ = 100168197696. Its totient is φ = 20781465600.

The previous prime is 45817581539. The next prime is 45817581581. The reversal of 45817581568 is 86518571854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30321933 + ... + 30323443.

Almost surely, 245817581568 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 45817581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50084098848).

45817581568 is an abundant number, since it is smaller than the sum of its proper divisors (54350616128).

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

45817581568 is a wasteful number, since it uses less digits than its factorization.

45817581568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2197 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 58.

The spelling of 45817581568 in words is "forty-five billion, eight hundred seventeen million, five hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 673 704 1024 1346 1408 1511 2048 2692 2816 3022 4096 5384 5632 6044 7403 10768 11264 12088 14806 16621 21536 22528 24176 29612 33242 43072 45056 48352 59224 66484 86144 96704 118448 132968 172288 193408 236896 265936 344576 386816 473792 531872 689152 773632 947584 1016903 1063744 1378304 1547264 1895168 2033806 2127488 2756608 3094528 3790336 4067612 4254976 6189056 7580672 8135224 8509952 11185933 15161344 16270448 17019904 22371866 30322688 32540896 34039808 44743732 65081792 68079616 89487464 130163584 178974928 260327168 357949856 520654336 715899712 1041308672 1431799424 2082617344 2863598848 4165234688 5727197696 11454395392 22908790784 45817581568