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5044165456626 = 2331940113219281
BaseRepresentation
bin100100101100110111110…
…1100001011001011110010
3122212012212120012210012000
41021121233230023023302
51130120422324103001
614421131351314430
71030300056643302
oct111315754131362
918765776183160
105044165456626
11167524499883a
1269571497ba16
132a788011955a
141361d3257602
158b324c62a86
hex4966fb0b2f2

5044165456626 has 128 divisors (see below), whose sum is σ = 11838871699200. Its totient is φ = 1587548160000.

The previous prime is 5044165456619. The next prime is 5044165456667. The reversal of 5044165456626 is 6266545614405.

5044165456626 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 1 + 6 + 5 + 4 + 5 + 6 + 626 = 666.

It is a super-3 number, since 3×50441654566263 (a number of 39 digits) contains 333 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 543489106 + ... + 543498386.

It is an arithmetic number, because the mean of its divisors is an integer number (92491185150).

Almost surely, 25044165456626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044165456626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919435849600).

5044165456626 is an abundant number, since it is smaller than the sum of its proper divisors (6794706242574).

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

5044165456626 is a wasteful number, since it uses less digits than its factorization.

5044165456626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11027 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 5044165456626 in words is "five trillion, forty-four billion, one hundred sixty-five million, four hundred fifty-six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 401 513 802 1026 1203 1321 2406 2642 3609 3963 7218 7619 7926 9281 10827 11889 15238 18562 21654 22857 23778 25099 27843 35667 45714 50198 55686 68571 71334 75297 83529 137142 150594 167058 176339 205713 225891 250587 352678 411426 451782 501174 529017 529721 677673 1058034 1059442 1355346 1587051 1589163 3174102 3178326 3721681 4761153 4767489 7443362 9522306 9534978 10064699 11165043 12260201 14302467 20129398 22330086 24520402 28604934 30194097 33495129 36780603 60388194 66990258 70711939 73561206 90582291 100485387 110341809 141423878 181164582 200970774 212135817 220683618 232943819 271746873 331025427 424271634 465887638 543493746 636407451 662050854 698831457 1272814902 1397662914 1909222353 2096494371 3818444706 4192988742 4916340601 6289483113 9832681202 12578966226 14749021803 29498043606 44247065409 88494130818 93410471419 132741196227 186820942838 265482392454 280231414257 560462828514 840694242771 1681388485542 2522082728313 5044165456626