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5460970536 = 2333712728439
BaseRepresentation
bin1010001010111111…
…11100110000101000
3112002120210001021000
411011133330300220
542141002024121
62301515315000
7252220324620
oct50537746050
915076701230
105460970536
112352636a9a
121084a4ba60
136904c9b18
1439b3b7880
1521e660526
hex1457fcc28

5460970536 has 128 divisors (see below), whose sum is σ = 17473536000. Its totient is φ = 1547937216.

The previous prime is 5460970517. The next prime is 5460970573. The reversal of 5460970536 is 6350790645.

5460970536 is a `hidden beast` number, since 5 + 4 + 609 + 7 + 0 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5460970491 and 5460970500.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177805 + ... + 206243.

It is an arithmetic number, because the mean of its divisors is an integer number (136512000).

Almost surely, 25460970536 is an apocalyptic number.

5460970536 is a gapful number since it is divisible by the number (56) 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 5460970536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736768000).

5460970536 is an abundant number, since it is smaller than the sum of its proper divisors (12012565464).

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

5460970536 is a wasteful number, since it uses less digits than its factorization.

5460970536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28588 (or 28578 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5460970536 is about 73898.3797927938. The cubic root of 5460970536 is about 1760.9888700834.

The spelling of 5460970536 in words is "five billion, four hundred sixty million, nine hundred seventy thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1778 2286 2667 3048 3429 3556 4572 5334 6858 7112 8001 9144 10668 13716 16002 21336 24003 27432 28439 32004 48006 56878 64008 85317 96012 113756 170634 192024 199073 227512 255951 341268 398146 511902 597219 682536 767853 796292 1023804 1194438 1535706 1592584 1791657 2047608 2388876 3071412 3583314 3611753 4777752 5374971 6142824 7166628 7223506 10749942 10835259 14333256 14447012 21499884 21670518 25282271 28894024 32505777 42999768 43341036 50564542 65011554 75846813 86682072 97517331 101129084 130023108 151693626 195034662 202258168 227540439 260046216 303387252 390069324 455080878 606774504 682621317 780138648 910161756 1365242634 1820323512 2730485268 5460970536