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9997348662 = 2327471938747
BaseRepresentation
bin10010100111110001…
…10110111100110110
3221210201202221011200
421103320312330312
5130433310124122
64332005513330
7502513030050
oct112370667466
927721687150
109997348662
114270274024
121b30112846
13c3429c732
146aba728d0
153d7a375ac
hex253e36f36

9997348662 has 96 divisors (see below), whose sum is σ = 25415949312. Its totient is φ = 2780808192.

The previous prime is 9997348609. The next prime is 9997348721. The reversal of 9997348662 is 2668437999.

9997348662 is a `hidden beast` number, since 9 + 9 + 97 + 3 + 486 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9997348662.

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, 1138573 + ... + 1147319.

It is an arithmetic number, because the mean of its divisors is an integer number (264749472).

Almost surely, 29997348662 is an apocalyptic number.

9997348662 is the 81639-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997348662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707974656).

9997348662 is an abundant number, since it is smaller than the sum of its proper divisors (15418600650).

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

9997348662 is a wasteful number, since it uses less digits than its factorization.

9997348662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002 (or 8999 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 9997348662 is about 99986.7424311843. The cubic root of 9997348662 is about 2154.2442687164.

The spelling of 9997348662 in words is "nine billion, nine hundred ninety-seven million, three hundred forty-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 193 282 329 386 423 579 658 846 987 1158 1351 1737 1974 2702 2961 3474 4053 5922 8106 8747 9071 12159 17494 18142 24318 26241 27213 52482 54426 61229 63497 78723 81639 122458 126994 157446 163278 183687 190491 367374 380982 411109 551061 571473 822218 1102122 1142946 1233327 1688171 2466654 2877763 3376342 3699981 5064513 5755526 7399962 8633289 10129026 11817197 15193539 17266578 23634394 25899867 30387078 35451591 51799734 70903182 79344037 106354773 158688074 212709546 238032111 476064222 555408259 714096333 1110816518 1428192666 1666224777 3332449554 4998674331 9997348662