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45847744512 = 21238344953
BaseRepresentation
bin101010101100101111…
…010001000000000000
311101100012121201220120
4222230233101000000
51222344010311022
633021232140240
73212102253423
oct525457210000
9141305551816
1045847744512
1118497947049
128a76397680
13442873c90b
14230d0a59ba
1512d5096d5c
hexaacbd1000

45847744512 has 104 divisors (see below), whose sum is σ = 123721319904. Its totient is φ = 15098118144.

The previous prime is 45847744463. The next prime is 45847744517. The reversal of 45847744512 is 21544774854.

It is a super-3 number, since 3×458477445123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (45847744517) by changing a digit.

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, 997428 + ... + 1042380.

It is an arithmetic number, because the mean of its divisors is an integer number (1189628076).

Almost surely, 245847744512 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 45847744512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61860659952).

45847744512 is an abundant number, since it is smaller than the sum of its proper divisors (77873575392).

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

45847744512 is an equidigital number, since it uses as much as digits as its factorization.

45847744512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45063 (or 45041 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 51.

The spelling of 45847744512 in words is "forty-five billion, eight hundred forty-seven million, seven hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2048 2656 3072 3984 4096 5312 6144 7968 10624 12288 15936 21248 31872 42496 44953 63744 84992 89906 127488 134859 169984 179812 254976 269718 339968 359624 509952 539436 719248 1019904 1078872 1438496 2157744 2876992 3731099 4315488 5753984 7462198 8630976 11193297 11507968 14924396 17261952 22386594 23015936 29848792 34523904 44773188 46031872 59697584 69047808 89546376 92063744 119395168 138095616 179092752 184127488 238790336 276191232 358185504 477580672 552382464 716371008 955161344 1432742016 1910322688 2865484032 3820645376 5730968064 7641290752 11461936128 15282581504 22923872256 45847744512