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116862689664 = 2732737412233
BaseRepresentation
bin110110011010110001…
…1110010000110000000
3102011122100202201210100
41230311203302012000
53403313322032124
6125404101002400
711304652321020
oct1546543620600
9364570681710
10116862689664
1145619a3a466
121a7950b3400
13b035227b16
1459287d9a80
15308e83c1c9
hex1b358f2180

116862689664 has 576 divisors, whose sum is σ = 406310692320. Its totient is φ = 31558533120.

The previous prime is 116862689609. The next prime is 116862689737. The reversal of 116862689664 is 466986268611.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 501556492 + ... + 501556724.

Almost surely, 2116862689664 is an apocalyptic number.

116862689664 is a gapful number since it is divisible by the number (14) 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 116862689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203155346160).

116862689664 is an abundant number, since it is smaller than the sum of its proper divisors (289448002656).

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

116862689664 is a wasteful number, since it uses less digits than its factorization.

116862689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 323 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 116862689664 in words is "one hundred sixteen billion, eight hundred sixty-two million, six hundred eighty-nine thousand, six hundred sixty-four".