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104558072480 = 2554759235661
BaseRepresentation
bin110000101100000100…
…1011001001010100000
3100222212211110102012222
41201120021121022200
53203113331304410
6120011110210212
710361021644361
oct1413011311240
9328784412188
10104558072480
1140385340454
1218320353968
139b23c39a54
1450bc565b68
152abe499955
hex18582592a0

104558072480 has 96 divisors (see below), whose sum is σ = 256551079680. Its totient is φ = 40239416320.

The previous prime is 104558072471. The next prime is 104558072497. The reversal of 104558072480 is 84270855401.

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 15 ways as a sum of consecutive naturals, for example, 325850 + ... + 561510.

It is an arithmetic number, because the mean of its divisors is an integer number (2672407080).

Almost surely, 2104558072480 is an apocalyptic number.

104558072480 is a gapful number since it is divisible by the number (10) 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 104558072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128275539840).

104558072480 is an abundant number, since it is smaller than the sum of its proper divisors (151993007200).

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

104558072480 is a wasteful number, since it uses less digits than its factorization.

104558072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235782 (or 235774 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 44.

The spelling of 104558072480 in words is "one hundred four billion, five hundred fifty-eight million, seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 80 94 118 160 188 235 236 295 376 470 472 590 752 940 944 1180 1504 1880 1888 2360 2773 3760 4720 5546 7520 9440 11092 13865 22184 27730 44368 55460 88736 110920 221840 235661 443680 471322 942644 1178305 1885288 2356610 3770576 4713220 7541152 9426440 11076067 13903999 18852880 22152134 27807998 37705760 44304268 55380335 55615996 69519995 88608536 110760670 111231992 139039990 177217072 221521340 222463984 278079980 354434144 443042680 444927968 556159960 653487953 886085360 1112319920 1306975906 1772170720 2224639840 2613951812 3267439765 5227903624 6534879530 10455807248 13069759060 20911614496 26139518120 52279036240 104558072480