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116247013632 = 2832232127751
BaseRepresentation
bin110110001000011011…
…1001010100100000000
3102010001110021011001100
41230100313022210000
53401033213414012
6125223024534400
711253465212121
oct1542067124400
9363043234040
10116247013632
11453334549a2
121a642a81400
13ac67800c89
1458aab32048
1530557748dc
hex1b10dca900

116247013632 has 324 divisors, whose sum is σ = 353604020224. Its totient is φ = 36723456000.

The previous prime is 116247013627. The next prime is 116247013633. The reversal of 116247013632 is 236310742611.

116247013632 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 7 + 0 + 13 + 632 = 666.

It is a super-4 number, since 4×1162470136324 (a number of 45 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116247013633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154789257 + ... + 154790007.

Almost surely, 2116247013632 is an apocalyptic number.

116247013632 is a gapful number since it is divisible by the number (12) 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 116247013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176802010112).

116247013632 is an abundant number, since it is smaller than the sum of its proper divisors (237357006592).

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

116247013632 is a wasteful number, since it uses less digits than its factorization.

116247013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 116247013632 in words is "one hundred sixteen billion, two hundred forty-seven million, thirteen thousand, six hundred thirty-two".