Search a number
-
+
997915991760 = 2432537107350087
BaseRepresentation
bin11101000010110000110…
…11011001111011010000
310112101210110222211121200
432201120123121323100
5112322212443214020
62042234122551200
7132045200655162
oct16413033317320
93471713884550
10997915991760
1135523961a736
121414a0068500
13731455b987c
1436429760932
151ae5880c590
hexe8586d9ed0

997915991760 has 240 divisors, whose sum is σ = 3474088465536. Its totient is φ = 256498209792.

The previous prime is 997915991759. The next prime is 997915991773. The reversal of 997915991760 is 67199519799.

It is a happy number.

997915991760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9979159917602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2675437 + ... + 3025523.

Almost surely, 2997915991760 is an apocalyptic number.

997915991760 is a gapful number since it is divisible by the number (90) 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 997915991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737044232768).

997915991760 is an abundant number, since it is smaller than the sum of its proper divisors (2476172473776).

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

997915991760 is a wasteful number, since it uses less digits than its factorization.

997915991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350250 (or 350241 counting only the distinct ones).

The product of its (nonzero) digits is 86802030, while the sum is 72.

The spelling of 997915991760 in words is "nine hundred ninety-seven billion, nine hundred fifteen million, nine hundred ninety-one thousand, seven hundred sixty".