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4450262348664 = 23331115431213873
BaseRepresentation
bin100000011000010100001…
…0011100111001101111000
3120202102220102201221021000
41000300220103213031320
51040403114130124124
613244231114445000
7636343435552566
oct100605023471570
916672812657230
104450262348664
1114663890944a0
125ba5a7a33760
13263872650a92
14115572a04a36
157ab652bb6c9
hex40c284e7378

4450262348664 has 128 divisors (see below), whose sum is σ = 13494394483200. Its totient is φ = 1347689249280.

The previous prime is 4450262348663. The next prime is 4450262348681. The reversal of 4450262348664 is 4668432620544.

4450262348664 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 2 + 623 + 4 + 8 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4450262348664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450262348663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3059232 + ... + 4273104.

It is an arithmetic number, because the mean of its divisors is an integer number (105424956900).

Almost surely, 24450262348664 is an apocalyptic number.

4450262348664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450262348664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747197241600).

4450262348664 is an abundant number, since it is smaller than the sum of its proper divisors (9044132134536).

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

4450262348664 is a wasteful number, since it uses less digits than its factorization.

4450262348664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215442 (or 1215432 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 4450262348664 in words is "four trillion, four hundred fifty billion, two hundred sixty-two million, three hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1543 2376 3086 4629 6172 9258 12344 13887 16973 18516 27774 33946 37032 41661 50919 55548 67892 83322 101838 111096 135784 152757 166644 203676 305514 333288 407352 458271 611028 916542 1213873 1222056 1833084 2427746 3641619 3666168 4855492 7283238 9710984 10924857 13352603 14566476 21849714 26705206 29132952 32774571 40057809 43699428 53410412 65549142 80115618 87398856 106820824 120173427 131098284 160231236 240346854 262196568 320462472 360520281 480693708 721040562 961387416 1442081124 1873006039 2884162248 3746012078 5619018117 7492024156 11238036234 14984048312 16857054351 20603066429 22476072468 33714108702 41206132858 44952144936 50571163053 61809199287 67428217404 82412265716 101142326106 123618398574 134856434808 164824531432 185427597861 202284652212 247236797148 370855195722 404569304424 494473594296 556282793583 741710391444 1112565587166 1483420782888 2225131174332 4450262348664