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116483673600 = 29325271729293
BaseRepresentation
bin110110001111011110…
…1111100111000000000
3102010122221120201111100
41230132331330320000
53402024310023400
6125302321214400
711262400613640
oct1543675747000
9363587521440
10116483673600
1145444aa7048
121a6aa191400
13aca4852768
1458d0338520
15306b421100
hex1b1ef7ce00

116483673600 has 1440 divisors, whose sum is σ = 523614611520. Its totient is φ = 24112005120.

The previous prime is 116483673589. The next prime is 116483673601. The reversal of 116483673600 is 6376384611.

116483673600 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 8 + 36 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116483673601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397555054 + ... + 397555346.

It is an arithmetic number, because the mean of its divisors is an integer number (363621258).

Almost surely, 2116483673600 is an apocalyptic number.

116483673600 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 116483673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261807305760).

116483673600 is an abundant number, since it is smaller than the sum of its proper divisors (407130937920).

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

116483673600 is a wasteful number, since it uses less digits than its factorization.

116483673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 116483673600 in words is "one hundred sixteen billion, four hundred eighty-three million, six hundred seventy-three thousand, six hundred".