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45770530624 = 2671319413629
BaseRepresentation
bin101010101000001000…
…101101111101000000
311101010211022212100221
4222220020231331000
51222214223434444
633005433152424
73210144043150
oct525010557500
9141124285327
1045770530624
11184582a9115
128a5455b714
134415746720
142302b26760
1512cd3e3a84
hexaa822df40

45770530624 has 112 divisors (see below), whose sum is σ = 117669462400. Its totient is φ = 17153980416.

The previous prime is 45770530621. The next prime is 45770530649. The reversal of 45770530624 is 42603507754.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45770530621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96159 + ... + 317470.

It is an arithmetic number, because the mean of its divisors is an integer number (1050620200).

Almost surely, 245770530624 is an apocalyptic number.

It is an amenable number.

45770530624 is an abundant number, since it is smaller than the sum of its proper divisors (71898931776).

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

45770530624 is a wasteful number, since it uses less digits than its factorization.

45770530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413680 (or 413670 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 43.

The spelling of 45770530624 in words is "forty-five billion, seven hundred seventy million, five hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 988 1064 1216 1456 1729 1976 2128 2912 3458 3952 4256 5824 6916 7904 8512 13832 15808 27664 55328 110656 413629 827258 1654516 2895403 3309032 5377177 5790806 6618064 7858951 10754354 11581612 13236128 15717902 21508708 23163224 26472256 31435804 37640239 43017416 46326448 55012657 62871608 75280478 86034832 92652896 102166363 110025314 125743216 150560956 172069664 185305792 204332726 220050628 251486432 301121912 344139328 408665452 440101256 502972864 602243824 715164541 817330904 880202512 1204487648 1430329082 1634661808 1760405024 2408975296 2860658164 3269323616 3520810048 5721316328 6538647232 11442632656 22885265312 45770530624