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5115681900 = 2233527535107
BaseRepresentation
bin1001100001110101…
…10001110001101100
3111012112001120022000
410300322301301230
540434103310100
62203342452300
7240525402330
oct46072616154
914175046260
105115681900
11219573a58a
12ba9294090
13636b03214
143675b57c0
151ee1a7900
hex130eb1c6c

5115681900 has 288 divisors, whose sum is σ = 19153774080. Its totient is φ = 1147011840.

The previous prime is 5115681899. The next prime is 5115681911. The reversal of 5115681900 is 91865115.

5115681900 is a `hidden beast` number, since 5 + 1 + 1 + 568 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×51156819002 = 52340402603975220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999147 + ... + 1004253.

It is an arithmetic number, because the mean of its divisors is an integer number (66506160).

Almost surely, 25115681900 is an apocalyptic number.

5115681900 is a gapful number since it is divisible by the number (50) 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 5115681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576887040).

5115681900 is an abundant number, since it is smaller than the sum of its proper divisors (14038092180).

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

5115681900 is a wasteful number, since it uses less digits than its factorization.

5115681900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 5115681900 is about 71523.9952743134. The cubic root of 5115681900 is about 1723.0630811402.

The spelling of 5115681900 in words is "five billion, one hundred fifteen million, six hundred eighty-one thousand, nine hundred".