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9973116630 = 2335151244619
BaseRepresentation
bin10010100100111000…
…11010111011010110
3221202001011211002000
421102130122323112
5130411104213010
64325342300130
7502100043531
oct112234327326
927661154060
109973116630
114258623154
121b23b87646
13c2c266c59
146a8765a18
153d584c7c0
hex25271aed6

9973116630 has 64 divisors (see below), whose sum is σ = 26771212800. Its totient is φ = 2641874400.

The previous prime is 9973116613. The next prime is 9973116631. The reversal of 9973116630 is 366113799.

9973116630 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 1 + 1 + 6 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973116631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81540 + ... + 163079.

It is an arithmetic number, because the mean of its divisors is an integer number (418300200).

Almost surely, 29973116630 is an apocalyptic number.

9973116630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9973116630 is the 81540-th pentagonal number.

9973116630 is an abundant number, since it is smaller than the sum of its proper divisors (16798096170).

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

9973116630 is a wasteful number, since it uses less digits than its factorization.

9973116630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244786 (or 244780 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9973116630 is about 99865.4926889163. The cubic root of 9973116630 is about 2152.5023418979.

The spelling of 9973116630 in words is "nine billion, nine hundred seventy-three million, one hundred sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 453 755 906 1359 1510 2265 2718 4077 4530 6795 8154 13590 20385 40770 244619 489238 733857 1223095 1467714 2201571 2446190 3669285 4403142 6604713 7338570 11007855 13209426 22015710 33023565 36937469 66047130 73874938 110812407 184687345 221624814 332437221 369374690 554062035 664874442 997311663 1108124070 1662186105 1994623326 3324372210 4986558315 9973116630