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89346677772 = 2231123101291377
BaseRepresentation
bin101001100110101111…
…0100001110000001100
322112121201112111111210
41103031132201300030
52430440222142042
6105013441214420
76312044142012
oct1231536416014
9275551474453
1089346677772
1134989963470
1215396031410
13856b677091
1444782348b2
1524cdd29a9c
hex14cd7a1c0c

89346677772 has 96 divisors (see below), whose sum is σ = 239666563584. Its totient is φ = 25641088000.

The previous prime is 89346677743. The next prime is 89346677773. The reversal of 89346677772 is 27777664398.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (89346677773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160948 + ... + 452324.

It is an arithmetic number, because the mean of its divisors is an integer number (2496526704).

Almost surely, 289346677772 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 89346677772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119833281792).

89346677772 is an abundant number, since it is smaller than the sum of its proper divisors (150319885812).

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

89346677772 is a wasteful number, since it uses less digits than its factorization.

89346677772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291519 (or 291517 counting only the distinct ones).

The product of its digits is 149361408, while the sum is 66.

The spelling of 89346677772 in words is "eighty-nine billion, three hundred forty-six million, six hundred seventy-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 253 276 303 404 506 606 759 1012 1111 1212 1518 2222 2323 3036 3333 4444 4646 6666 6969 9292 13332 13938 25553 27876 51106 76659 102212 153318 291377 306636 582754 874131 1165508 1748262 3205147 3496524 6410294 6701671 9615441 12820588 13403342 19230882 20105013 26806684 29429077 38461764 40210026 58858154 73718381 80420052 88287231 117716308 147436762 176574462 221155143 294873524 323719847 353148924 442310286 647439694 676868771 884620572 971159541 1294879388 1353737542 1942319082 2030606313 2707475084 3884638164 4061212626 7445556481 8122425252 14891112962 22336669443 29782225924 44673338886 89346677772