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10666583408 = 24132321110567
BaseRepresentation
bin10011110111100011…
…10010010101110000
31000112101001120122202
421323301302111300
5133321121132113
64522233522332
7525220314545
oct117361622560
930471046582
1010666583408
11458400aa98
1220982733a8
13100cb29720
147328bcbcc
1542667e258
hex27bc72570

10666583408 has 80 divisors (see below), whose sum is σ = 23336173056. Its totient is φ = 4686232320.

The previous prime is 10666583387. The next prime is 10666583449. The reversal of 10666583408 is 80438566601.

It is a super-2 number, since 2×106665834082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004141 + ... + 1014707.

Almost surely, 210666583408 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 10666583408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11668086528).

10666583408 is an abundant number, since it is smaller than the sum of its proper divisors (12669589648).

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

10666583408 is a wasteful number, since it uses less digits than its factorization.

10666583408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 10666583408 in words is "ten billion, six hundred sixty-six million, five hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 211 299 368 422 598 844 1196 1688 2392 2743 3376 4784 4853 5486 9706 10567 10972 19412 21134 21944 38824 42268 43888 63089 77648 84536 126178 137371 169072 243041 252356 274742 486082 504712 549484 972164 1009424 1098968 1944328 2197936 2229637 3159533 3888656 4459274 6319066 8918548 12638132 17837096 25276264 28985281 35674192 50552528 51281651 57970562 102563302 115941124 205126604 231882248 410253208 463764496 666661463 820506416 1333322926 2666645852 5333291704 10666583408