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116238326400 = 2733527192193
BaseRepresentation
bin110110001000001011…
…0000001101010000000
3102010000211220210102000
41230100112001222000
53401024002421100
6125222114424000
711253331320660
oct1542026015200
9363024823360
10116238326400
1145329561069
121a63bb92000
13ac65a7bac1
1458a99101a0
153054b0a900
hex1b10581a80

116238326400 has 384 divisors, whose sum is σ = 486173942400. Its totient is φ = 26568622080.

The previous prime is 116238326377. The next prime is 116238326411. The reversal of 116238326400 is 4623832611.

116238326400 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 3 + 8 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1162383264002 (a number of 23 digits) 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 47 ways as a sum of consecutive naturals, for example, 508704 + ... + 700896.

It is an arithmetic number, because the mean of its divisors is an integer number (1266077975).

Almost surely, 2116238326400 is an apocalyptic number.

116238326400 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 116238326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243086971200).

116238326400 is an abundant number, since it is smaller than the sum of its proper divisors (369935616000).

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

116238326400 is a wasteful number, since it uses less digits than its factorization.

116238326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192233 (or 192210 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 116238326400 in words is "one hundred sixteen billion, two hundred thirty-eight million, three hundred twenty-six thousand, four hundred".