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5540662644 = 223111723310597
BaseRepresentation
bin1010010100011111…
…11100110101110100
3112022010201211021120
411022033330311310
542321402201034
62313443343540
7254205566256
oct51217746564
915263654246
105540662644
112393617940
1210a7681bb0
136a3b8000a
143a7bddcd6
15226652c49
hex14a3fcd74

5540662644 has 96 divisors (see below), whose sum is σ = 14998628736. Its totient is φ = 1573294080.

The previous prime is 5540662591. The next prime is 5540662667. The reversal of 5540662644 is 4462660455.

It is a junction number, because it is equal to n+sod(n) for n = 5540662596 and 5540662605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517554 + ... + 528150.

It is an arithmetic number, because the mean of its divisors is an integer number (156235716).

Almost surely, 25540662644 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 5540662644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499314368).

5540662644 is an abundant number, since it is smaller than the sum of its proper divisors (9457966092).

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

5540662644 is a wasteful number, since it uses less digits than its factorization.

5540662644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 5540662644 is about 74435.6275180105. The cubic root of 5540662644 is about 1769.5135910075.

The spelling of 5540662644 in words is "five billion, five hundred forty million, six hundred sixty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 233 374 466 561 699 748 932 1122 1398 2244 2563 2796 3961 5126 7689 7922 10252 10597 11883 15378 15844 21194 23766 30756 31791 42388 43571 47532 63582 87142 116567 127164 130713 174284 180149 233134 261426 349701 360298 466268 522852 540447 699402 720596 1080894 1398804 1981639 2161788 2469101 3963278 4938202 5944917 7407303 7926556 9876404 11889834 14814606 23779668 27160111 29629212 41974717 54320222 81480333 83949434 108640444 125924151 162960666 167898868 251848302 325921332 461721887 503696604 923443774 1385165661 1846887548 2770331322 5540662644