Search a number
-
+
918122397696 = 2183572971
BaseRepresentation
bin11010101110001000101…
…11000000000000000000
310020202211112021021100000
431113010113000000000
5110020303313211241
61541440221200000
7123221633421150
oct15270427000000
93222745237300
10918122397696
11324412181479
12129b31400000
136876a172a5a
143261a194760
1518d38510eb6
hexd5c45c0000

918122397696 has 912 divisors, whose sum is σ = 3297723287040. Its totient is φ = 249707888640.

The previous prime is 918122397641. The next prime is 918122397727. The reversal of 918122397696 is 696793221819.

918122397696 is a `hidden beast` number, since 9 + 181 + 2 + 2 + 397 + 69 + 6 = 666.

It is a super-2 number, since 2×9181223976962 (a number of 25 digits) contains 22 as substring.

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.

Its product of digits (17635968) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12931301341 + ... + 12931301411.

Almost surely, 2918122397696 is an apocalyptic number.

918122397696 is a gapful number since it is divisible by the number (96) 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 918122397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648861643520).

918122397696 is an abundant number, since it is smaller than the sum of its proper divisors (2379600889344).

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

918122397696 is an frugal number, since it uses more digits than its factorization.

918122397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 918122397696 in words is "nine hundred eighteen billion, one hundred twenty-two million, three hundred ninety-seven thousand, six hundred ninety-six".