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69268976100 = 2232523122832
BaseRepresentation
bin100000010000011000…
…0001011000111100100
320121210110210120121100
41000200300023013210
52113330324213400
651453254320100
75001356403432
oct1004060130744
9217713716540
1069268976100
1127416592a95
1211512059030
1366bbb6522c
1434d18c3d52
151c06361100
hex1020c0b1e4

69268976100 has 243 divisors, whose sum is σ = 225145107369. Its totient is φ = 17812699200.

The previous prime is 69268976087. The next prime is 69268976123. The reversal of 69268976100 is 167986296.

The square root of 69268976100 is 263190.

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

It can be written as a sum of positive squares in only one way, i.e., 24936831396 + 44332144704 = 157914^2 + 210552^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 244766559 + ... + 244766841.

Almost surely, 269268976100 is an apocalyptic number.

69268976100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

69268976100 is the 263190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69268976100

69268976100 is an abundant number, since it is smaller than the sum of its proper divisors (155876131269).

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

69268976100 is a wasteful number, since it uses less digits than its factorization.

69268976100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 69268976100 in words is "sixty-nine billion, two hundred sixty-eight million, nine hundred seventy-six thousand, one hundred".