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104486120160 = 25351301167317
BaseRepresentation
bin110000101001111011…
…0111010101011100000
3100222200211001212012020
41201103312322223200
53202441421321120
6120000020101440
710356156240012
oct1412366725340
9328624055166
10104486120160
1140348766624
1218300234880
139b12066706
1450b2b961b2
152ab7ed5640
hex1853dbaae0

104486120160 has 96 divisors (see below), whose sum is σ = 329386230432. Its totient is φ = 27841382400.

The previous prime is 104486120159. The next prime is 104486120191. The reversal of 104486120160 is 61021684401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540822 + ... + 708138.

It is an arithmetic number, because the mean of its divisors is an integer number (3431106567).

Almost surely, 2104486120160 is an apocalyptic number.

104486120160 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 104486120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164693115216).

104486120160 is an abundant number, since it is smaller than the sum of its proper divisors (224900110272).

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

104486120160 is a wasteful number, since it uses less digits than its factorization.

104486120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168636 (or 168628 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 104486120160 in words is "one hundred four billion, four hundred eighty-six million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1301 2602 3903 5204 6505 7806 10408 13010 15612 19515 20816 26020 31224 39030 41632 52040 62448 78060 104080 124896 156120 167317 208160 312240 334634 501951 624480 669268 836585 1003902 1338536 1673170 2007804 2509755 2677072 3346340 4015608 5019510 5354144 6692680 8031216 10039020 13385360 16062432 20078040 26770720 40156080 80312160 217679417 435358834 653038251 870717668 1088397085 1306076502 1741435336 2176794170 2612153004 3265191255 3482870672 4353588340 5224306008 6530382510 6965741344 8707176680 10448612016 13060765020 17414353360 20897224032 26121530040 34828706720 52243060080 104486120160