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215087576964 = 223132367288989
BaseRepresentation
bin1100100001010000110…
…1111111011110000100
3202120011211020000012020
43020110031333132010
512010444404430324
6242450533123140
721353033144601
oct3102415773604
9676154200166
10215087576964
118324436a077
12358284894b0
131738a04c300
14a5a5bc16a8
1558dccd7679
hex321437f784

215087576964 has 72 divisors (see below), whose sum is σ = 544928791680. Its totient is φ = 66000235392.

The previous prime is 215087576947. The next prime is 215087576993. The reversal of 215087576964 is 469675780512.

It is a happy number.

215087576964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215087576898 and 215087576907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599782 + ... + 888770.

It is an arithmetic number, because the mean of its divisors is an integer number (7568455440).

Almost surely, 2215087576964 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 215087576964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272464395840).

215087576964 is an abundant number, since it is smaller than the sum of its proper divisors (329841214716).

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

215087576964 is a wasteful number, since it uses less digits than its factorization.

215087576964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289389 (or 289374 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 215087576964 in words is "two hundred fifteen billion, eighty-seven million, five hundred seventy-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 367 507 676 734 1014 1101 1468 2028 2202 4404 4771 9542 14313 19084 28626 57252 62023 124046 186069 248092 288989 372138 577978 744276 866967 1155956 1733934 3467868 3756857 7513714 11270571 15027428 22541142 45082284 48839141 97678282 106058963 146517423 195356564 212117926 293034846 318176889 424235852 586069692 636353778 1272707556 1378766519 2757533038 4136299557 5515066076 8272599114 16545198228 17923964747 35847929494 53771894241 71695858988 107543788482 215087576964