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9993134892 = 22313193539551
BaseRepresentation
bin10010100111010001…
…10010001100101100
3221210102211211222010
421103220302030230
5130431220304032
64331335321220
7502432150026
oct112350621454
927712754863
109993134892
114268956174
121b2a820210
13c33455790
146ab297016
153d74a3ccc
hex253a3232c

9993134892 has 96 divisors (see below), whose sum is σ = 26510238720. Its totient is φ = 2904422400.

The previous prime is 9993134887. The next prime is 9993134897. The reversal of 9993134892 is 2984313999.

It is an interprime number because it is at equal distance from previous prime (9993134887) and next prime (9993134897).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9993134897) 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, 1041517 + ... + 1051067.

It is an arithmetic number, because the mean of its divisors is an integer number (276148320).

Almost surely, 29993134892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993134892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255119360).

9993134892 is an abundant number, since it is smaller than the sum of its proper divisors (16517103828).

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

9993134892 is a wasteful number, since it uses less digits than its factorization.

9993134892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9941 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 57.

The square root of 9993134892 is about 99965.6685667635. The cubic root of 9993134892 is about 2153.9415629414.

The spelling of 9993134892 in words is "nine billion, nine hundred ninety-three million, one hundred thirty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 353 494 706 741 988 1059 1412 1482 2118 2964 4236 4589 6707 9178 9551 13414 13767 18356 19102 20121 26828 27534 28653 38204 40242 55068 57306 80484 87191 114612 124163 174382 181469 248326 261573 348764 362938 372489 496652 523146 544407 725876 744978 1046292 1088814 1489956 2177628 2359097 3371503 4718194 6743006 7077291 9436388 10114509 13486012 14154582 20229018 28309164 40458036 43829539 64058557 87659078 128117114 131488617 175318156 192175671 256234228 262977234 384351342 525954468 768702684 832761241 1665522482 2498283723 3331044964 4996567446 9993134892