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68178432100 = 2252261112
BaseRepresentation
bin111111011111110000…
…000101000001100100
320111222110202012110211
4333133300011001210
52104112134311400
651153140225204
74632345053032
oct773760050144
9214873665424
1068178432100
1126a06a47159
121126899b204
136576c4561c
14342ab27552
151b90746dba
hexfdfc05064

68178432100 has 27 divisors (see below), whose sum is σ = 147952863961. Its totient is φ = 27270328400.

The previous prime is 68178432071. The next prime is 68178432107. The reversal of 68178432100 is 123487186.

The square root of 68178432100 is 261110.

It is a perfect power (a square), and thus also a powerful number.

68178432100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24544235556 + 43634196544 = 156666^2 + 208888^2 .

It is a super-2 number, since 2×681784321002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68178432107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2598045 + ... + 2624155.

Almost surely, 268178432100 is an apocalyptic number.

68178432100 is the 261110-th square number.

It is an amenable number.

68178432100 is an abundant number, since it is smaller than the sum of its proper divisors (79774431861).

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

68178432100 is an frugal number, since it uses more digits than its factorization.

68178432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52236 (or 26118 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 68178432100 in words is "sixty-eight billion, one hundred seventy-eight million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 26111 52222 104444 130555 261110 522220 652775 1305550 2611100 681784321 1363568642 2727137284 3408921605 6817843210 13635686420 17044608025 34089216050 68178432100