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68195635200 = 2123252711312
BaseRepresentation
bin111111100000110001…
…101101000000000000
320112000200010012200200
4333200301231000000
52104131040311300
651154553045200
74632644222610
oct774061550000
9215020105620
1068195635200
1126a157270a0
12112726b6800
13657a689984
14342d124a40
151b91ee4200
hexfe0c6d000

68195635200 has 1404 divisors, whose sum is σ = 314675154144. Its totient is φ = 13713408000.

The previous prime is 68195635181. The next prime is 68195635217. The reversal of 68195635200 is 253659186.

68195635200 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 5 + 635 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2199859185 + ... + 2199859215.

Almost surely, 268195635200 is an apocalyptic number.

68195635200 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 68195635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157337577072).

68195635200 is an abundant number, since it is smaller than the sum of its proper divisors (246479518944).

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

68195635200 is a wasteful number, since it uses less digits than its factorization.

68195635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 68195635200 in words is "sixty-eight billion, one hundred ninety-five million, six hundred thirty-five thousand, two hundred".