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20211567066 = 2335310916473
BaseRepresentation
bin10010110100101101…
…000000100111011010
31221011120121222201000
4102310231000213122
5312343130121231
613141324005430
71313601325335
oct226455004732
957146558630
1020211567066
1186319a2539
123b00990876
131ba1481b52
14d9a43961c
157d460c6e6
hex4b4b409da

20211567066 has 64 divisors (see below), whose sum is σ = 45811059840. Its totient is φ = 6602993280.

The previous prime is 20211567043. The next prime is 20211567071. The reversal of 20211567066 is 66076511202.

It is a happy number.

20211567066 is a `hidden beast` number, since 20 + 2 + 11 + 567 + 0 + 66 = 666.

It is a super-4 number, since 4×202115670664 (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20211567066.

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, 3119206 + ... + 3125678.

It is an arithmetic number, because the mean of its divisors is an integer number (715797810).

Almost surely, 220211567066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211567066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905529920).

20211567066 is an abundant number, since it is smaller than the sum of its proper divisors (25599492774).

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

20211567066 is a wasteful number, since it uses less digits than its factorization.

20211567066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20211567066 in words is "twenty billion, two hundred eleven million, five hundred sixty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1091 1431 2182 2862 3273 6473 6546 9819 12946 19419 19638 29457 38838 57823 58257 58914 115646 116514 173469 174771 343069 346938 349542 520407 686138 1029207 1040814 1561221 2058414 3087621 3122442 6175242 7062043 9262863 14124086 18525726 21186129 42372258 63558387 127116774 190675161 374288279 381350322 748576558 1122864837 2245729674 3368594511 6737189022 10105783533 20211567066