Search a number
-
+
117212811819390 = 23357732117435419
BaseRepresentation
bin11010101001101010111100…
…000000101111100101111110
3120101000102202101111022012000
4122221222330000233211332
5110330403314311210030
61053142453345123130
733455226513432150
oct3251527400574576
9511012671438160
10117212811819390
11343907465a4221
12111907656294a6
135053175311371
1420d31b79daad0
15d83e93015860
hex6a9abc02f97e

117212811819390 has 512 divisors, whose sum is σ = 364386506342400. Its totient is φ = 26259015767040.

The previous prime is 117212811819361. The next prime is 117212811819469. The reversal of 117212811819390 is 93918118212711.

It is a happy number.

117212811819390 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 128 + 118 + 19 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21629968101 + ... + 21629973519.

It is an arithmetic number, because the mean of its divisors is an integer number (711692395200).

Almost surely, 2117212811819390 is an apocalyptic number.

117212811819390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117212811819390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182193253171200).

117212811819390 is an abundant number, since it is smaller than the sum of its proper divisors (247173694523010).

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

117212811819390 is a wasteful number, since it uses less digits than its factorization.

117212811819390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 54.

The spelling of 117212811819390 in words is "one hundred seventeen trillion, two hundred twelve billion, eight hundred eleven million, eight hundred nineteen thousand, three hundred ninety".