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10561066590 = 23519294115583
BaseRepresentation
bin10011101010111110…
…10001011001011110
31000021000111202210110
421311133101121132
5133112113112330
64503544150450
7522466404414
oct116537213136
930230452713
1010561066590
11452a4a0708
122068a68426
13cc4003b39
147228932b4
1541c289db0
hex2757d165e

10561066590 has 128 divisors (see below), whose sum is σ = 28275609600. Its totient is φ = 2513064960.

The previous prime is 10561066513. The next prime is 10561066591. The reversal of 10561066590 is 9566016501.

It is a super-2 number, since 2×105610665902 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561066591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669939 + ... + 685521.

It is an arithmetic number, because the mean of its divisors is an integer number (220903200).

Almost surely, 210561066590 is an apocalyptic number.

10561066590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10561066590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137804800).

10561066590 is an abundant number, since it is smaller than the sum of its proper divisors (17714543010).

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

10561066590 is a wasteful number, since it uses less digits than its factorization.

10561066590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15682.

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 10561066590 in words is "ten billion, five hundred sixty-one million, sixty-six thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 41 57 58 82 87 95 114 123 145 174 190 205 246 285 290 410 435 551 570 615 779 870 1102 1189 1230 1558 1653 2337 2378 2755 3306 3567 3895 4674 5510 5945 7134 7790 8265 11685 11890 15583 16530 17835 22591 23370 31166 35670 45182 46749 67773 77915 93498 112955 135546 155830 225910 233745 296077 338865 451907 467490 592154 638903 677730 888231 903814 1277806 1355721 1480385 1776462 1916709 2259535 2711442 2960770 3194515 3833418 4441155 4519070 6389030 6778605 8586233 8882310 9583545 12139157 13557210 17172466 18528187 19167090 24278314 25758699 36417471 37056374 42931165 51517398 55584561 60695785 72834942 85862330 92640935 111169122 121391570 128793495 182087355 185281870 257586990 277922805 352035553 364174710 555845610 704071106 1056106659 1760177765 2112213318 3520355530 5280533295 10561066590