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8973993798 = 23271122920297
BaseRepresentation
bin10000101101110010…
…00100011101000110
3212011102011010012200
420112321010131012
5121334320300143
64042251455330
7435245455140
oct102671043506
925142133180
108973993798
113895649400
1218a5457546
13b00276103
14611ba5c90
15377c911d3
hex216e44746

8973993798 has 144 divisors (see below), whose sum is σ = 25268574240. Its totient is φ = 2250420480.

The previous prime is 8973993773. The next prime is 8973993817.

8973993798 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431986 + ... + 452282.

It is an arithmetic number, because the mean of its divisors is an integer number (175476210).

Almost surely, 28973993798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973993798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634287120).

8973993798 is an abundant number, since it is smaller than the sum of its proper divisors (16294580442).

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

8973993798 is a wasteful number, since it uses less digits than its factorization.

8973993798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20349 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The square root of 8973993798 is about 94731.1659275869. The cubic root of 8973993798 is about 2078.0783686864.

The spelling of 8973993798 in words is "eight billion, nine hundred seventy-three million, nine hundred ninety-three thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 121 126 154 174 198 203 231 242 261 319 363 406 462 522 609 638 693 726 847 957 1089 1218 1386 1694 1827 1914 2178 2233 2541 2871 3509 3654 4466 5082 5742 6699 7018 7623 10527 13398 15246 20097 20297 21054 24563 31581 40194 40594 49126 60891 63162 73689 121782 142079 147378 182673 221067 223267 284158 365346 426237 442134 446534 588613 669801 852474 1177226 1278711 1339602 1562869 1765839 2009403 2455937 2557422 3125738 3531678 4018806 4120291 4688607 4911874 5297517 6474743 7367811 8240582 9377214 10595034 12360873 12949486 14065821 14735622 17191559 19424229 22103433 24721746 28131642 34383118 37082619 38848458 44206866 45323201 51574677 58272687 71222173 74165238 90646402 103149354 116545374 135969603 142444346 154724031 213666519 271939206 309448062 407908809 427333038 498555211 640999557 815817618 997110422 1281999114 1495665633 2991331266 4486996899 8973993798