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20150506566 = 2342910142467
BaseRepresentation
bin10010110001000100…
…000101010001000110
31221000022201210110000
4102301010011101012
5312232012202231
613131303142130
71312230323361
oct226104052106
957008653400
1020150506566
118600487913
123aa4444946
131b91923288
14d922a30d8
157ce09a6e6
hex4b1105446

20150506566 has 80 divisors (see below), whose sum is σ = 47172605040. Its totient is φ = 6420859200.

The previous prime is 20150506559. The next prime is 20150506603. The reversal of 20150506566 is 66560505102.

It is a happy number.

It is a super-2 number, since 2×201505065662 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20150506566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 453265 + ... + 495731.

It is an arithmetic number, because the mean of its divisors is an integer number (589657563).

Almost surely, 220150506566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20150506566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586302520).

20150506566 is an abundant number, since it is smaller than the sum of its proper divisors (27022098474).

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

20150506566 is a wasteful number, since it uses less digits than its factorization.

20150506566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42611 (or 42602 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 20150506566 in words is "twenty billion, one hundred fifty million, five hundred six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 101 162 174 202 261 303 522 606 783 909 1566 1818 2349 2727 2929 4698 5454 5858 8181 8787 16362 17574 26361 42467 52722 79083 84934 127401 158166 237249 254802 382203 474498 764406 1146609 1231543 2293218 2463086 3439827 3694629 4289167 6879654 7389258 8578334 11083887 12867501 22167774 25735002 33251661 38602503 66503322 77205006 99754983 115807509 124385843 199509966 231615018 248771686 347422527 373157529 694845054 746315058 1119472587 2238945174 3358417761 6716835522 10075253283 20150506566