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116477351100 = 22325211191016131
BaseRepresentation
bin110110001111010010…
…1110101010010111100
3102010122111200111122200
41230132211311102330
53402021200213400
6125301533511500
711262263101665
oct1543645652274
9363574614580
10116477351100
1145441478940
121a6a8042590
13aca344aa36
1458cd57036c
15306aac2b00
hex1b1e9754bc

116477351100 has 432 divisors, whose sum is σ = 423464146560. Its totient is φ = 26481600000.

The previous prime is 116477351093. The next prime is 116477351143. The reversal of 116477351100 is 1153774611.

It is a happy number.

116477351100 is a `hidden beast` number, since 1 + 1 + 647 + 7 + 3 + 5 + 1 + 1 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18995035 + ... + 19001165.

It is an arithmetic number, because the mean of its divisors is an integer number (980241080).

Almost surely, 2116477351100 is an apocalyptic number.

116477351100 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 116477351100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211732073280).

116477351100 is an abundant number, since it is smaller than the sum of its proper divisors (306986795460).

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

116477351100 is a wasteful number, since it uses less digits than its factorization.

116477351100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 116477351100 in words is "one hundred sixteen billion, four hundred seventy-seven million, three hundred fifty-one thousand, one hundred".