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68792662927872 = 293713219353
BaseRepresentation
bin11111010010001000010100…
…01111001010101000000000
3100000120111212221220210000000
433221010022033022220000
533004044333202142442
6402150525120000000
720330051213606112
oct1751041217125000
9300514787823000
1068792662927872
111aa12893890164
12787058b760000
132c50174338300
1412db822b1b3b2
157e46c5b0cd4c
hex3e910a3caa00

68792662927872 has 1920 divisors, whose sum is σ = 240067236499200. Its totient is φ = 19674564968448.

The previous prime is 68792662927843. The next prime is 68792662927897. The reversal of 68792662927872 is 27872926629786.

68792662927872 is a `hidden beast` number, since 6 + 87 + 9 + 266 + 2 + 9 + 278 + 7 + 2 = 666.

It is a super-2 number, since 2×687926629278722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 68792662927791 and 68792662927800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1297974772198 + ... + 1297974772250.

It is an arithmetic number, because the mean of its divisors is an integer number (125035019010).

Almost surely, 268792662927872 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 68792662927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120033618249600).

68792662927872 is an abundant number, since it is smaller than the sum of its proper divisors (171274573571328).

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

68792662927872 is an frugal number, since it uses more digits than its factorization.

68792662927872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 90 counting only the distinct ones).

The product of its digits is 6145155072, while the sum is 81.

The spelling of 68792662927872 in words is "sixty-eight trillion, seven hundred ninety-two billion, six hundred sixty-two million, nine hundred twenty-seven thousand, eight hundred seventy-two".