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5680033956 = 2234532792
BaseRepresentation
bin1010100101000111…
…00111000010100100
3112122211222121210000
411102203213002210
543113042041311
62335342501300
7260520330522
oct52243470244
915584877700
105680033956
11245525a643
121126294830
136c69ca14c
143bc51d312
152339d3056
hex1528e70a4

5680033956 has 135 divisors (see below), whose sum is σ = 15328178481. Its totient is φ = 1834106976.

The previous prime is 5680033939. The next prime is 5680033967. The reversal of 5680033956 is 6593300865.

The square root of 5680033956 is 75366.

It is a perfect power (a square), and thus also a powerful number.

5680033956 is a `hidden beast` number, since 568 + 0 + 0 + 3 + 39 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4094720100 + 1585313856 = 63990^2 + 39816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71899125 + ... + 71899203.

Almost surely, 25680033956 is an apocalyptic number.

5680033956 is the 75366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5680033956

5680033956 is an abundant number, since it is smaller than the sum of its proper divisors (9648144525).

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

5680033956 is an equidigital number, since it uses as much as digits as its factorization.

5680033956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The cubic root of 5680033956 is about 1784.2278363490.

The spelling of 5680033956 in words is "five billion, six hundred eighty million, thirty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 79 81 106 108 158 159 162 212 237 316 318 324 474 477 636 711 948 954 1422 1431 1908 2133 2809 2844 2862 4187 4266 4293 5618 5724 6241 6399 8374 8427 8532 8586 11236 12482 12561 12798 16748 16854 17172 18723 24964 25122 25281 25596 33708 37446 37683 50244 50562 56169 74892 75366 75843 101124 112338 113049 150732 151686 168507 221911 224676 226098 227529 303372 330773 337014 339147 443822 452196 455058 505521 661546 665733 674028 678294 887644 910116 992319 1011042 1323092 1331466 1356588 1984638 1997199 2022084 2662932 2976957 3969276 3994398 5953914 5991597 7988796 8930871 11907828 11983194 17530969 17861742 17974791 23966388 26792613 35061938 35723484 35949582 52592907 53585226 70123876 71899164 105185814 107170452 157778721 210371628 315557442 473336163 631114884 946672326 1420008489 1893344652 2840016978 5680033956