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9743893056 = 26342816689
BaseRepresentation
bin10010001001100100…
…00000001001000000
3221011001212001110000
421010302000021000
5124423414034211
64250513240000
7463314503322
oct110462001100
927131761400
109743893056
1141501a0087
121a7b263000
13bc391a1c1
14686137612
153c066e656
hex244c80240

9743893056 has 140 divisors (see below), whose sum is σ = 28991074860. Its totient is φ = 3235921920.

The previous prime is 9743893039. The next prime is 9743893069. The reversal of 9743893056 is 6503983479.

It can be written as a sum of positive squares in 2 ways, for example, as 7402881600 + 2341011456 = 86040^2 + 48384^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9743892993 and 9743893011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1453360 + ... + 1460048.

Almost surely, 29743893056 is an apocalyptic number.

9743893056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9743893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495537430).

9743893056 is an abundant number, since it is smaller than the sum of its proper divisors (19247181804).

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

9743893056 is a wasteful number, since it uses less digits than its factorization.

9743893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9743893056 is about 98711.1597338416. The cubic root of 9743893056 is about 2135.8832154304.

The spelling of 9743893056 in words is "nine billion, seven hundred forty-three million, eight hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 281 288 324 432 562 576 648 843 864 1124 1296 1686 1728 2248 2529 2592 3372 4496 5058 5184 6689 6744 7587 8992 10116 13378 13488 15174 17984 20067 20232 22761 26756 26976 30348 40134 40464 45522 53512 53952 60201 60696 80268 80928 91044 107024 120402 121392 160536 161856 180603 182088 214048 240804 242784 321072 361206 364176 428096 481608 485568 541809 642144 722412 728352 963216 1083618 1284288 1444824 1456704 1879609 1926432 2167236 2889648 3759218 3852864 4334472 5638827 5779296 7518436 8668944 11277654 11558592 15036872 16916481 17337888 22555308 30073744 33832962 34675776 45110616 50749443 60147488 67665924 90221232 101498886 120294976 135331848 152248329 180442464 202997772 270663696 304496658 360884928 405995544 541327392 608993316 811991088 1082654784 1217986632 1623982176 2435973264 3247964352 4871946528 9743893056