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104567479968 = 25377112717257
BaseRepresentation
bin110000101100010110…
…1010001111010100000
3100222220111011100212110
41201120231101322200
53203123233324333
6120012043555320
710361164625430
oct1413055217240
9328814140773
10104567479968
114038a686436
121832352bb40
139b25b81a03
1450bd8d42c0
152ac0207063
hex1858b51ea0

104567479968 has 192 divisors, whose sum is σ = 320644251648. Its totient is φ = 29222000640.

The previous prime is 104567479943. The next prime is 104567479969. The reversal of 104567479968 is 869974765401.

It is a junction number, because it is equal to n+sod(n) for n = 104567479899 and 104567479908.

It is not an unprimeable number, because it can be changed into a prime (104567479969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6050796 + ... + 6068052.

It is an arithmetic number, because the mean of its divisors is an integer number (1670022144).

Almost surely, 2104567479968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104567479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160322125824).

104567479968 is an abundant number, since it is smaller than the sum of its proper divisors (216076771680).

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

104567479968 is a wasteful number, since it uses less digits than its factorization.

104567479968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17475 (or 17467 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 104567479968 in words is "one hundred four billion, five hundred sixty-seven million, four hundred seventy-nine thousand, nine hundred sixty-eight".