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5331105040 = 24537248677
BaseRepresentation
bin1001111011100001…
…00011010100010000
3111202112102012021211
410331300203110100
541404230330130
62241000025504
7246052434202
oct47560432420
914675365254
105331105040
1122962a7138
121049462294
1366c62a631
14388050772
1521305ba2a
hex13dc23510

5331105040 has 60 divisors (see below), whose sum is σ = 12739129956. Its totient is φ = 2074765824.

The previous prime is 5331105037. The next prime is 5331105047. The reversal of 5331105040 is 405011335.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 849605904 + 4481499136 = 29148^2 + 66944^2 .

It is not an unprimeable number, because it can be changed into a prime (5331105047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85182 + ... + 133858.

Almost surely, 25331105040 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 5331105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369564978).

5331105040 is an abundant number, since it is smaller than the sum of its proper divisors (7408024916).

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

5331105040 is a wasteful number, since it uses less digits than its factorization.

5331105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48764 (or 48721 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5331105040 is about 73014.4166586298. The cubic root of 5331105040 is about 1746.9175713867.

Adding to 5331105040 its reverse (405011335), we get a palindrome (5736116375).

The spelling of 5331105040 in words is "five billion, three hundred thirty-one million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 21904 27380 48677 54760 97354 109520 194708 243385 389416 486770 778832 973540 1801049 1947080 3602098 3894160 7204196 9005245 14408392 18010490 28816784 36020980 66638813 72041960 133277626 144083920 266555252 333194065 533110504 666388130 1066221008 1332776260 2665552520 5331105040