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10239473328 = 2437191159553
BaseRepresentation
bin10011000100101000…
…11111011010110000
3222102121101010202220
421202110133122300
5131432301121303
64412015241040
7511513041630
oct114224373260
928377333686
1010239473328
114384a08957
121b99219180
13c724b5676
146d1c9c6c0
153ede13053
hex26251f6b0

10239473328 has 80 divisors (see below), whose sum is σ = 30389293056. Its totient is φ = 2910228480.

The previous prime is 10239473317. The next prime is 10239473347. The reversal of 10239473328 is 82337493201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10239473328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15601 + ... + 143952.

Almost surely, 210239473328 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 10239473328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194646528).

10239473328 is an abundant number, since it is smaller than the sum of its proper divisors (20149819728).

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

10239473328 is a wasteful number, since it uses less digits than its factorization.

10239473328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159762 (or 159756 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 10239473328 in words is "ten billion, two hundred thirty-nine million, four hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 2292 2674 3056 4011 4584 5348 8022 9168 10696 16044 21392 32088 64176 159553 319106 478659 638212 957318 1116871 1276424 1914636 2233742 2552848 3350613 3829272 4467484 6701226 7658544 8934968 13402452 17869936 26804904 30474623 53609808 60949246 91423869 121898492 182847738 213322361 243796984 365695476 426644722 487593968 639967083 731390952 853289444 1279934166 1462781904 1706578888 2559868332 3413157776 5119736664 10239473328