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104458230880 = 2552235934937
BaseRepresentation
bin110000101001000110…
…0100001110001100000
3100222121212120221021221
41201102030201301200
53202412301342010
6115553142224424
710355400212113
oct1412214416140
9328555527257
10104458230880
1140333a47a33
12182b2a25114
139b09350393
1450ad1b657a
152ab5826dda
hex1852321c60

104458230880 has 96 divisors (see below), whose sum is σ = 248357539584. Its totient is φ = 41517367296.

The previous prime is 104458230859. The next prime is 104458230887. The reversal of 104458230880 is 88032854401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104458230887) 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 15 ways as a sum of consecutive naturals, for example, 21155772 + ... + 21160708.

It is an arithmetic number, because the mean of its divisors is an integer number (2587057704).

Almost surely, 2104458230880 is an apocalyptic number.

104458230880 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 104458230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124178769792).

104458230880 is an abundant number, since it is smaller than the sum of its proper divisors (143899308704).

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

104458230880 is a wasteful number, since it uses less digits than its factorization.

104458230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 104458230880 in words is "one hundred four billion, four hundred fifty-eight million, two hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 593 892 1115 1186 1784 2230 2372 2965 3568 4460 4744 4937 5930 7136 8920 9488 9874 11860 17840 18976 19748 23720 24685 35680 39496 47440 49370 78992 94880 98740 132239 157984 197480 264478 394960 528956 661195 789920 1057912 1100951 1322390 2115824 2201902 2644780 2927641 4231648 4403804 5289560 5504755 5855282 8807608 10579120 11009510 11710564 14638205 17615216 21158240 22019020 23421128 29276410 35230432 44038040 46842256 58552820 88076080 93684512 117105640 176152160 234211280 468422560 652863943 1305727886 2611455772 3264319715 5222911544 6528639430 10445823088 13057278860 20891646176 26114557720 52229115440 104458230880