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45814547964 = 223233145711717
BaseRepresentation
bin101010101010110000…
…101000010111111100
311101020220011011210210
4222222300220113330
51222312011013324
633014044432420
73211220142453
oct525260502774
9141226134723
1045814547964
1118480132a89
128a67248710
1344218b89a3
142308903b9a
1512d21dad29
hexaaac285fc

45814547964 has 96 divisors (see below), whose sum is σ = 115408613376. Its totient is φ = 14104189440.

The previous prime is 45814547957. The next prime is 45814548001. The reversal of 45814547964 is 46974541854.

45814547964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3904234 + ... + 3915950.

It is an arithmetic number, because the mean of its divisors is an integer number (1202173056).

Almost surely, 245814547964 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 45814547964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57704306688).

45814547964 is an abundant number, since it is smaller than the sum of its proper divisors (69594065412).

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

45814547964 is a wasteful number, since it uses less digits than its factorization.

45814547964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12235 (or 12233 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 45814547964 in words is "forty-five billion, eight hundred fourteen million, five hundred forty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 457 713 914 1371 1426 1828 2139 2742 2852 4278 5484 8556 10511 11717 14167 21022 23434 28334 31533 35151 42044 42501 46868 56668 63066 70302 85002 126132 140604 170004 269491 325841 363227 538982 651682 726454 808473 977523 1077964 1089681 1303364 1452908 1616946 1955046 2179362 3233892 3910092 4358724 5354669 8354221 10709338 16064007 16708442 21418676 25062663 32128014 33416884 50125326 64256028 100250652 123157387 165994739 246314774 331989478 369472161 492629548 497984217 663978956 738944322 995968434 1477888644 1991936868 3817878997 7635757994 11453636991 15271515988 22907273982 45814547964