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68600478960 = 243351323106219
BaseRepresentation
bin111111111000111010…
…000011110011110000
320120001212220101221000
4333320322003303300
52110443210311320
651303054202000
74645661310246
oct777072036360
9216055811830
1068600478960
1127103200212
12113661b3300
136613505bb0
14346abca796
151bb7812c90
hexff8e83cf0

68600478960 has 320 divisors, whose sum is σ = 265533004800. Its totient is φ = 16151933952.

The previous prime is 68600478943. The next prime is 68600478971. The reversal of 68600478960 is 6987400686.

68600478960 is a `hidden beast` number, since 6 + 86 + 0 + 0 + 478 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68600478897 and 68600478906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592731 + ... + 698949.

It is an arithmetic number, because the mean of its divisors is an integer number (829790640).

Almost surely, 268600478960 is an apocalyptic number.

68600478960 is a gapful number since it is divisible by the number (60) 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 68600478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132766502400).

68600478960 is an abundant number, since it is smaller than the sum of its proper divisors (196932525840).

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

68600478960 is a wasteful number, since it uses less digits than its factorization.

68600478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106277 (or 106265 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 68600478960 in words is "sixty-eight billion, six hundred million, four hundred seventy-eight thousand, nine hundred sixty".