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5159674685880 = 23355111317593701
BaseRepresentation
bin100101100010101010010…
…0100111010100110111000
3200021021000121012121100000
41023011110210322212320
51134014003204422010
614550153303113000
71041526356124521
oct113052444724670
920237017177300
105159674685880
11170a229936380
126b3b90742760
132b572ab0bc10
1413ba2ddb7848
158e33584e7c0
hex4b15493a9b8

5159674685880 has 1536 divisors, whose sum is σ = 22004593228800. Its totient is φ = 1067986944000.

The previous prime is 5159674685873. The next prime is 5159674685909. The reversal of 5159674685880 is 885864769515.

5159674685880 is a `hidden beast` number, since 5 + 1 + 59 + 67 + 468 + 58 + 8 + 0 = 666.

It is a super-2 number, since 2×51596746858802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5159674685799 and 5159674685808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1394128030 + ... + 1394131730.

It is an arithmetic number, because the mean of its divisors is an integer number (14325907050).

Almost surely, 25159674685880 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 5159674685880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002296614400).

5159674685880 is an abundant number, since it is smaller than the sum of its proper divisors (16844918542920).

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

5159674685880 is a wasteful number, since it uses less digits than its factorization.

5159674685880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 5159674685880 in words is "five trillion, one hundred fifty-nine billion, six hundred seventy-four million, six hundred eighty-five thousand, eight hundred eighty".