Search a number
-
+
9493428096 = 27343129537
BaseRepresentation
bin10001101011101101…
…00011011110000000
3220111121120010010000
420311312203132000
5123420304144341
64210005040000
7454153543635
oct106566433600
926447503100
109493428096
11403187a049
121a0b3b6000
13b83a73c99
14660b7a18c
153a86978b6
hex235da3780

9493428096 has 160 divisors (see below), whose sum is σ = 29164639680. Its totient is φ = 3062292480.

The previous prime is 9493428079. The next prime is 9493428097. The reversal of 9493428096 is 6908243949.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9493428097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 306640 + ... + 336176.

It is an arithmetic number, because the mean of its divisors is an integer number (182278998).

Almost surely, 29493428096 is an apocalyptic number.

9493428096 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 9493428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582319840).

9493428096 is an abundant number, since it is smaller than the sum of its proper divisors (19671211584).

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

9493428096 is a wasteful number, since it uses less digits than its factorization.

9493428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29594 (or 29573 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9493428096 is about 97434.2244593757. The cubic root of 9493428096 is about 2117.4233035740.

The spelling of 9493428096 in words is "nine billion, four hundred ninety-three million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8928 10044 10368 11904 13392 17856 20088 26784 29537 35712 40176 53568 59074 80352 88611 107136 118148 160704 177222 236296 265833 321408 354444 472592 531666 708888 797499 915647 945184 1063332 1417776 1594998 1831294 1890368 2126664 2392497 2746941 2835552 3189996 3662588 3780736 4253328 4784994 5493882 5671104 6379992 7325176 8240823 8506656 9569988 10987764 11342208 12759984 14650352 16481646 17013312 19139976 21975528 24722469 25519968 29300704 32963292 34026624 38279952 43951056 49444938 51039936 58601408 65926584 74167407 76559904 87902112 98889876 102079872 117202816 131853168 148334814 153119808 175804224 197779752 263706336 296669628 306239616 351608448 395559504 527412672 593339256 791119008 1054825344 1186678512 1582238016 2373357024 3164476032 4746714048 9493428096