Search a number
-
+
117267643620 = 223355922916073
BaseRepresentation
bin110110100110110110…
…0100011110011100100
3102012200120202112012000
41231031230203303210
53410131004043440
6125512204325300
711321000344551
oct1551554436344
9365616675160
10117267643620
1145807589356
121a888843830
13b09b0b224a
1459664cda28
1530b517d730
hex1b4db23ce4

117267643620 has 192 divisors, whose sum is σ = 372659616000. Its totient is φ = 30605202432.

The previous prime is 117267643573. The next prime is 117267643627. The reversal of 117267643620 is 26346762711.

117267643620 is a `hidden beast` number, since 1 + 17 + 2 + 6 + 7 + 6 + 4 + 3 + 620 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117267643627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7287904 + ... + 7303976.

It is an arithmetic number, because the mean of its divisors is an integer number (1940935500).

Almost surely, 2117267643620 is an apocalyptic number.

117267643620 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 117267643620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186329808000).

117267643620 is an abundant number, since it is smaller than the sum of its proper divisors (255391972380).

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

117267643620 is a wasteful number, since it uses less digits than its factorization.

117267643620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16379 (or 16371 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 117267643620 in words is "one hundred seventeen billion, two hundred sixty-seven million, six hundred forty-three thousand, six hundred twenty".