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45591382920 = 23352361270797
BaseRepresentation
bin101010011101011101…
…010100101110001000
311100200100020012220210
4222131131110232020
51221332343223140
632535553321120
73202540234506
oct523535245610
9140610205823
1045591382920
1118376168866
128a045661a0
1343b75b0775
1422c7011676
1512bc807d80
hexa9d754b88

45591382920 has 128 divisors (see below), whose sum is σ = 145061072640. Its totient is φ = 11438423040.

The previous prime is 45591382861. The next prime is 45591382939. The reversal of 45591382920 is 2928319554.

It is a happy number.

45591382920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45591382920.

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, 32962 + ... + 303758.

It is an arithmetic number, because the mean of its divisors is an integer number (1133289630).

Almost surely, 245591382920 is an apocalyptic number.

45591382920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45591382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530536320).

45591382920 is an abundant number, since it is smaller than the sum of its proper divisors (99469689720).

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

45591382920 is a wasteful number, since it uses less digits than its factorization.

45591382920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270895 (or 270891 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 45591382920 in words is "forty-five billion, five hundred ninety-one million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 61 69 92 115 120 122 138 183 184 230 244 276 305 345 366 460 488 552 610 690 732 915 920 1220 1380 1403 1464 1830 2440 2760 2806 3660 4209 5612 7015 7320 8418 11224 14030 16836 21045 28060 33672 42090 56120 84180 168360 270797 541594 812391 1083188 1353985 1624782 2166376 2707970 3249564 4061955 5415940 6228331 6499128 8123910 10831880 12456662 16247820 16518617 18684993 24913324 31141655 32495640 33037234 37369986 49555851 49826648 62283310 66074468 74739972 82593085 93424965 99111702 124566620 132148936 149479944 165186170 186849930 198223404 247779255 249133240 330372340 373699860 379928191 396446808 495558510 660744680 747399720 759856382 991117020 1139784573 1519712764 1899640955 1982234040 2279569146 3039425528 3799281910 4559138292 5698922865 7598563820 9118276584 11397845730 15197127640 22795691460 45591382920