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68819317015680 = 27325711223959021
BaseRepresentation
bin11111010010111001111101…
…11100011100010010000000
3100000200001200112021201201100
433221130332330130102000
533010013430124000210
6402211054025334400
720332013554611660
oct1751347674342200
9300601615251640
1068819317015680
111aa23121380900
12787578a037400
132c528314644ba
1412dcc30a381a0
157e5235b155c0
hex3e973ef1c480

68819317015680 has 1152 divisors, whose sum is σ = 299779254028800. Its totient is φ = 14240043417600.

The previous prime is 68819317015643. The next prime is 68819317015783. The reversal of 68819317015680 is 8651071391886.

68819317015680 is a `hidden beast` number, since 6 + 88 + 19 + 317 + 0 + 156 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165984570 + ... + 1166043590.

It is an arithmetic number, because the mean of its divisors is an integer number (260225046900).

Almost surely, 268819317015680 is an apocalyptic number.

68819317015680 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 68819317015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149889627014400).

68819317015680 is an abundant number, since it is smaller than the sum of its proper divisors (230959937013120).

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

68819317015680 is a wasteful number, since it uses less digits than its factorization.

68819317015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59314 (or 59288 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 68819317015680 in words is "sixty-eight trillion, eight hundred nineteen billion, three hundred seventeen million, fifteen thousand, six hundred eighty".