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115978912200 = 2332522323492
BaseRepresentation
bin110110000000011100…
…0011100000111001000
3102002100202210012000200
41230000320130013020
53400011100142300
6125140250332200
711244031326234
oct1540070340710
9362322705020
10115978912200
1145206088368
121a58912a060
13ac240c1388
1458832a35c4
15303be67200
hex1b00e1c1c8

115978912200 has 324 divisors, whose sum is σ = 408336745635. Its totient is φ = 29498261760.

The previous prime is 115978912171. The next prime is 115978912207. The reversal of 115978912200 is 2219879511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 69692832036 + 46286080164 = 263994^2 + 215142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=240810.

It is a super-2 number, since 2×1159789122002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (115978912207) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 332317626 + ... + 332317974.

Almost surely, 2115978912200 is an apocalyptic number.

115978912200 is a gapful number since it is divisible by the number (10) 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 115978912200

115978912200 is an abundant number, since it is smaller than the sum of its proper divisors (292357833435).

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

115978912200 is a wasteful number, since it uses less digits than its factorization.

115978912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 115978912200 in words is "one hundred fifteen billion, nine hundred seventy-eight million, nine hundred twelve thousand, two hundred".