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5145456736 = 257214110729
BaseRepresentation
bin1001100101011000…
…10111000001100000
3111021121002021200201
410302230113001200
541014214103421
62210324554544
7241336442410
oct46254270140
914247067621
105145456736
112200526892
12bb7252a54
13640029874
1436b526640
15201ad9b91
hex132b17060

5145456736 has 48 divisors (see below), whose sum is σ = 11583764640. Its totient is φ = 2203960320.

The previous prime is 5145456727. The next prime is 5145456739. The reversal of 5145456736 is 6376545415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145456739) 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 7 ways as a sum of consecutive naturals, for example, 474220 + ... + 484948.

It is an arithmetic number, because the mean of its divisors is an integer number (241328430).

Almost surely, 25145456736 is an apocalyptic number.

5145456736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5145456736 is an abundant number, since it is smaller than the sum of its proper divisors (6438307904).

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

5145456736 is a wasteful number, since it uses less digits than its factorization.

5145456736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887 (or 12879 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 46.

The square root of 5145456736 is about 71731.8390674601. The cubic root of 5145456736 is about 1726.3995347755.

The spelling of 5145456736 in words is "five billion, one hundred forty-five million, four hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2141 4282 8564 10729 14987 17128 21458 29974 34256 42916 59948 68512 75103 85832 119896 150206 171664 239792 300412 343328 479584 600824 1201648 2403296 22970789 45941578 91883156 160795523 183766312 321591046 367532624 643182092 735065248 1286364184 2572728368 5145456736