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104493800560 = 24523311831939
BaseRepresentation
bin110000101010001010…
…0001101110001110000
3100222201100112001201111
41201110110031301300
53203000403104220
6120000452443104
710356311435602
oct1412424156160
9328640461644
10104493800560
1140352031a66
1218302919494
139b13825526
1450b3bd5172
152ab8a0115a
hex185450dc70

104493800560 has 80 divisors (see below), whose sum is σ = 261688965120. Its totient is φ = 38690530560.

The previous prime is 104493800501. The next prime is 104493800563. The reversal of 104493800560 is 65008394401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104493800563) 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, 858930 + ... + 973009.

It is an arithmetic number, because the mean of its divisors is an integer number (3271112064).

Almost surely, 2104493800560 is an apocalyptic number.

104493800560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104493800560 is an abundant number, since it is smaller than the sum of its proper divisors (157195164560).

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

104493800560 is a wasteful number, since it uses less digits than its factorization.

104493800560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832006 (or 1832000 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 104493800560 in words is "one hundred four billion, four hundred ninety-three million, eight hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 1831939 3663878 7327756 9159695 14655512 18319390 29311024 36638780 42134597 56790109 73277560 84269194 113580218 146555120 168538388 210672985 227160436 283950545 337076776 421345970 454320872 567901090 674153552 842691940 908641744 1135802180 1306172507 1685383880 2271604360 2612345014 3370767760 4543208720 5224690028 6530862535 10449380056 13061725070 20898760112 26123450140 52246900280 104493800560