Search a number
-
+
89150945664 = 2731121105811
BaseRepresentation
bin101001100000111001…
…1110111100110000000
322112010002020021112110
41103001303313212000
52430040120230124
6104542210055320
76304146351324
oct1230163674600
9275102207473
1089150945664
1134899425aa0
121534057a540
138539c55571
14445a243984
1524bba65029
hex14c1cf7980

89150945664 has 64 divisors (see below), whose sum is σ = 258335138880. Its totient is φ = 27015436800.

The previous prime is 89150945621. The next prime is 89150945683. The reversal of 89150945664 is 46654905198.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×891509456642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10548682 + ... + 10557129.

It is an arithmetic number, because the mean of its divisors is an integer number (4036486545).

Almost surely, 289150945664 is an apocalyptic number.

It is an amenable number.

89150945664 is an abundant number, since it is smaller than the sum of its proper divisors (169184193216).

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

89150945664 is a wasteful number, since it uses less digits than its factorization.

89150945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21105839 (or 21105827 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 89150945664 in words is "eighty-nine billion, one hundred fifty million, nine hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 21105811 42211622 63317433 84423244 126634866 168846488 232163921 253269732 337692976 464327842 506539464 675385952 696491763 928655684 1013078928 1350771904 1392983526 1857311368 2026157856 2701543808 2785967052 3714622736 4052315712 5571934104 7429245472 8104631424 11143868208 14858490944 22287736416 29716981888 44575472832 89150945664