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8533993920 = 263516753231
BaseRepresentation
bin1111111001010101…
…00110100111000000
3211000202012210211220
413330222212213000
5114434200301140
63530453035040
7421323515514
oct77452464700
924022183756
108533993920
11368a242a41
1217a2025a80
13a6006b05a
145ad58c144
1534e32abd0
hex1fcaa69c0

8533993920 has 112 divisors (see below), whose sum is σ = 27258190848. Its totient is φ = 2262062080.

The previous prime is 8533993907. The next prime is 8533993927. The reversal of 8533993920 is 293993358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8533993927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133705 + ... + 186935.

It is an arithmetic number, because the mean of its divisors is an integer number (243376704).

Almost surely, 28533993920 is an apocalyptic number.

8533993920 is a gapful number since it is divisible by the number (80) 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 8533993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629095424).

8533993920 is an abundant number, since it is smaller than the sum of its proper divisors (18724196928).

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

8533993920 is a wasteful number, since it uses less digits than its factorization.

8533993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53418 (or 53408 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The square root of 8533993920 is about 92379.6185313622. The cubic root of 8533993920 is about 2043.5445489590.

The spelling of 8533993920 in words is "eight billion, five hundred thirty-three million, nine hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 167 192 240 320 334 480 501 668 835 960 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 10688 13360 16032 20040 26720 32064 40080 53231 53440 80160 106462 159693 160320 212924 266155 319386 425848 532310 638772 798465 851696 1064620 1277544 1596930 1703392 2129240 2555088 3193860 3406784 4258480 5110176 6387720 8516960 8889577 10220352 12775440 17033920 17779154 25550880 26668731 35558308 44447885 51101760 53337462 71116616 88895770 106674924 133343655 142233232 177791540 213349848 266687310 284466464 355583080 426699696 533374620 568932928 711166160 853399392 1066749240 1422332320 1706798784 2133498480 2844664640 4266996960 8533993920