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5260122564 = 22319671492311
BaseRepresentation
bin1001110011000011…
…10001100111000100
3111120120211220122020
410321201301213010
541233042410224
62225542403140
7244231206204
oct47141614704
914516756566
105260122564
11225a224a34
1210297304b0
1365aa06878
1437c854404
1520bbd9c79
hex1398719c4

5260122564 has 96 divisors (see below), whose sum is σ = 13206144000. Its totient is φ = 1624613760.

The previous prime is 5260122503. The next prime is 5260122607. The reversal of 5260122564 is 4652210625.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274969 + ... + 2277279.

It is an arithmetic number, because the mean of its divisors is an integer number (137564000).

Almost surely, 25260122564 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 5260122564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603072000).

5260122564 is an abundant number, since it is smaller than the sum of its proper divisors (7946021436).

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

5260122564 is a wasteful number, since it uses less digits than its factorization.

5260122564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5260122564 is about 72526.7024205568. The cubic root of 5260122564 is about 1739.1296307622.

The spelling of 5260122564 in words is "five billion, two hundred sixty million, one hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 149 201 228 268 298 402 447 596 804 894 1273 1788 2311 2546 2831 3819 4622 5092 5662 6933 7638 8493 9244 9983 11324 13866 15276 16986 19966 27732 29949 33972 39932 43909 59898 87818 119796 131727 154837 175636 189677 263454 309674 344339 379354 464511 526908 569031 619348 688678 758708 929022 1033017 1138062 1377356 1858044 2066034 2276124 2941903 4132068 5883806 6542441 8825709 11767612 13084882 17651418 19627323 23070713 26169764 35302836 39254646 46141426 69212139 78509292 92282852 138424278 276848556 438343547 876687094 1315030641 1753374188 2630061282 5260122564