Search a number
-
+
44653361664 = 29338517549
BaseRepresentation
bin101001100101100011…
…000011101000000000
311021020222011210122210
4221211203003220000
51212422230033124
632302524302120
73140360211612
oct514543035000
9137228153583
1044653361664
1117a3472758a
1287a23a1940
1342981640c2
1422385d8db2
1512652baa29
hexa658c3a00

44653361664 has 80 divisors (see below), whose sum is σ = 119005999200. Its totient is φ = 14878617600.

The previous prime is 44653361629. The next prime is 44653361699. The reversal of 44653361664 is 46616335644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44653361629) and next prime (44653361699).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5911362 + ... + 5918910.

It is an arithmetic number, because the mean of its divisors is an integer number (1487574990).

Almost surely, 244653361664 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 44653361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59502999600).

44653361664 is an abundant number, since it is smaller than the sum of its proper divisors (74352637536).

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

44653361664 is an equidigital number, since it uses as much as digits as its factorization.

44653361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11405 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 44653361664 in words is "forty-four billion, six hundred fifty-three million, three hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3851 7549 7702 11553 15098 15404 22647 23106 30196 30808 45294 46212 60392 61616 90588 92424 120784 123232 181176 184848 241568 246464 362352 369696 483136 492928 724704 739392 966272 985856 1449408 1478784 1932544 1971712 2898816 2957568 3865088 5797632 5915136 11595264 29071199 58142398 87213597 116284796 174427194 232569592 348854388 465139184 697708776 930278368 1395417552 1860556736 2790835104 3721113472 5581670208 7442226944 11163340416 14884453888 22326680832 44653361664