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9123020032 = 287832739
BaseRepresentation
bin10000111111100011…
…00011110100000000
3212112210120102202211
420133301203310000
5122140443120112
64105133551504
7442035251020
oct103761436400
925483512684
109123020032
113961785a85
121927345594
13b250c3a09
146278b9a80
15385dcc0a7
hex21fc63d00

9123020032 has 108 divisors (see below), whose sum is σ = 21094161760. Its totient is φ = 3857531904.

The previous prime is 9123019999. The next prime is 9123020087. The reversal of 9123020032 is 2300203219.

It is a junction number, because it is equal to n+sod(n) for n = 9123019985 and 9123020012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12344719 + ... + 12345457.

Almost surely, 29123020032 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 9123020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10547080880).

9123020032 is an abundant number, since it is smaller than the sum of its proper divisors (11971141728).

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

9123020032 is an frugal number, since it uses more digits than its factorization.

9123020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 9123020032 is about 95514.5016842992. The cubic root of 9123020032 is about 2089.5184464746.

The spelling of 9123020032 in words is "nine billion, one hundred twenty-three million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 448 581 664 739 896 1162 1328 1478 1792 2324 2656 2956 4648 5173 5312 5912 6889 9296 10346 10624 11824 13778 18592 20692 21248 23648 27556 37184 41384 47296 48223 55112 61337 74368 82768 94592 96446 110224 122674 148736 165536 189184 192892 220448 245348 331072 385784 429359 440896 490696 662144 771568 858718 881792 981392 1324288 1543136 1717436 1763584 1962784 3086272 3434872 3925568 5090971 6172544 6869744 7851136 10181942 12345088 13739488 15702272 20363884 27478976 35636797 40727768 54957952 71273594 81455536 109915904 142547188 162911072 285094376 325822144 570188752 651644288 1140377504 1303288576 2280755008 4561510016 9123020032