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997689336336 = 243272112232472
BaseRepresentation
bin11101000010010101110…
…10110010001000010000
310112101012200111112211100
432201022322302020100
5112321231432230321
62042155424544400
7132036446302200
oct16411272621020
93471180445740
10997689336336
11355132691100
12141438182100
137310a65ba34
1436407600400
151ae4398a326
hexe84aeb2210

997689336336 has 1215 divisors, whose sum is σ = 3813188136303. Its totient is φ = 242599230720.

The previous prime is 997689336317. The next prime is 997689336337. The reversal of 997689336336 is 633633986799.

The square root of 997689336336 is 998844.

It is a perfect power (a square), and thus also a powerful number.

997689336336 is a `hidden beast` number, since 9 + 97 + 68 + 93 + 363 + 36 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (997689336337) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 21227432665 + ... + 21227432711.

Almost surely, 2997689336336 is an apocalyptic number.

997689336336 is the 998844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997689336336

997689336336 is an abundant number, since it is smaller than the sum of its proper divisors (2815498799967).

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

997689336336 is a wasteful number, since it uses less digits than its factorization.

997689336336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its digits is 714256704, while the sum is 72.

It can be divided in two parts, 997689 and 336336, that added together give a square (1334025 = 11552).

The spelling of 997689336336 in words is "nine hundred ninety-seven billion, six hundred eighty-nine million, three hundred thirty-six thousand, three hundred thirty-six".