Search a number
-
+
264335066162442 = 233111792486081167
BaseRepresentation
bin111100000110100101001101…
…101110000110010100001010
31021122221012000020210220222000
4330012211031232012110022
5234121331203414144232
62334105504124411430
7106451402233666542
oct7406451556062412
91248835006726860
10264335066162442
1177252965714160
1225791aa69a6b76
13b4658c75b2232
14493bc57a0c322
152085e65a5a27c
hexf0694db8650a

264335066162442 has 64 divisors (see below), whose sum is σ = 644392238745600. Its totient is φ = 79654040558640.

The previous prime is 264335066162329. The next prime is 264335066162483. The reversal of 264335066162442 is 244261660533462.

264335066162442 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 3 + 5 + 0 + 6 + 6 + 1 + 624 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1242934258 + ... + 1243146909.

It is an arithmetic number, because the mean of its divisors is an integer number (10068628730400).

Almost surely, 2264335066162442 is an apocalyptic number.

264335066162442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

264335066162442 is an abundant number, since it is smaller than the sum of its proper divisors (380057172583158).

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

264335066162442 is a wasteful number, since it uses less digits than its factorization.

264335066162442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486081368 (or 2486081362 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 264335066162442 in words is "two hundred sixty-four trillion, three hundred thirty-five billion, sixty-six million, one hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 358 537 594 1074 1611 1969 3222 3938 4833 5907 9666 11814 17721 35442 53163 106326 2486081167 4972162334 7458243501 14916487002 22374730503 27346892837 44749461006 54693785674 67124191509 82040678511 134248383018 164081357022 246122035533 445008528893 492244071066 738366106599 890017057786 1335025586679 1476732213198 2670051173358 4005076760037 4895093817823 8010153520074 9790187635646 12015230280111 14685281453469 24030460560222 29370562906938 44055844360407 88111688720814 132167533081221 264335066162442