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44646666664644 = 223211373047138047
BaseRepresentation
bin10100010011011000111001…
…01101001111101011000100
312212002011211222000221212200
422021230130231033223010
521322442333131232034
6234542221233114500
712255421010025552
oct1211543455175304
9185064758027780
1044646666664644
11132535aa43a080
1250109a63b8a30
131bbb216308c15
14b04ca5816bd2
1552656794ea99
hex289b1cb4fac4

44646666664644 has 72 divisors (see below), whose sum is σ = 126444040439808. Its totient is φ = 13163636358720.

The previous prime is 44646666664631. The next prime is 44646666664709.

44646666664644 is nontrivially palindromic in base 10.

44646666664644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1523554372 + ... + 1523583675.

Almost surely, 244646666664644 is an apocalyptic number.

44646666664644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44646666664644 is an abundant number, since it is smaller than the sum of its proper divisors (81797373775164).

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

44646666664644 is a wasteful number, since it uses less digits than its factorization.

44646666664644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047138105 (or 3047138100 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 72.

The spelling of 44646666664644 in words is "forty-four trillion, six hundred forty-six billion, six hundred sixty-six million, six hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 3047138047 6094276094 9141414141 12188552188 18282828282 27424242423 33518518517 36565656564 54848484846 67037037034 100555555551 109696969692 112744107739 134074074068 201111111102 225488215478 301666666653 338232323217 402222222204 450976430956 603333333306 676464646434 1014696969651 1206666666612 1240185185129 1352929292868 2029393939302 2480370370258 3720555555387 4058787878604 4960740740516 7441111110774 11161666666161 14882222221548 22323333332322 44646666664644