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5217760536 = 23331531131171
BaseRepresentation
bin1001101110000000…
…01011010100011000
3111110122010200212020
410313000023110120
541141221314121
62221430414440
7243205142562
oct46700132430
914418120766
105217760536
11223832079a
121017501420
13651cc3b91
14376d88332
1520811d1c6
hex13700b518

5217760536 has 128 divisors (see below), whose sum is σ = 13852477440. Its totient is φ = 1635379200.

The previous prime is 5217760531. The next prime is 5217760543. The reversal of 5217760536 is 6350677125.

It is a super-2 number, since 2×52177605362 = 54450050022078014592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217760531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4455231 + ... + 4456401.

It is an arithmetic number, because the mean of its divisors is an integer number (108222480).

Almost surely, 25217760536 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 5217760536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926238720).

5217760536 is an abundant number, since it is smaller than the sum of its proper divisors (8634716904).

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

5217760536 is a wasteful number, since it uses less digits than its factorization.

5217760536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 5217760536 is about 72234.0676966208. The cubic root of 5217760536 is about 1734.4483886771.

The spelling of 5217760536 in words is "five billion, two hundred seventeen million, seven hundred sixty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 113 124 159 186 212 226 248 318 339 372 424 452 636 678 744 904 1171 1272 1356 1643 2342 2712 3286 3503 3513 4684 4929 5989 6572 7006 7026 9368 9858 10509 11978 13144 14012 14052 17967 19716 21018 23956 28024 28104 35934 36301 39432 42036 47912 62063 71868 72602 84072 108903 124126 132323 143736 145204 185659 186189 217806 248252 264646 290408 371318 372378 396969 435612 496504 529292 556977 742636 744756 793938 871224 1058584 1113954 1485272 1489512 1587876 1923953 2227908 3175752 3847906 4102013 4455816 5771859 7013119 7695812 8204026 11543718 12306039 14026238 15391624 16408052 21039357 23087436 24612078 28052476 32816104 42078714 46174872 49224156 56104952 84157428 98448312 168314856 217406689 434813378 652220067 869626756 1304440134 1739253512 2608880268 5217760536