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44262536406 = 231121133371601
BaseRepresentation
bin101001001110010000…
…001011010011010110
311020020201202211012020
4221032100023103112
51211122202131111
632200043434010
73124603231434
oct511620132326
9136221684166
1044262536406
1117854058800
1286b3525906
1342351b585a
1421dc741d54
151240d1a906
hexa4e40b4d6

44262536406 has 96 divisors (see below), whose sum is σ = 98518309344. Its totient is φ = 13246464000.

The previous prime is 44262536399. The next prime is 44262536407. The reversal of 44262536406 is 60463526244.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44262536407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27646006 + ... + 27647606.

It is an arithmetic number, because the mean of its divisors is an integer number (1026232389).

Almost surely, 244262536406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44262536406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49259154672).

44262536406 is an abundant number, since it is smaller than the sum of its proper divisors (54255772938).

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

44262536406 is a wasteful number, since it uses less digits than its factorization.

44262536406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 44262536406 in words is "forty-four billion, two hundred sixty-two million, five hundred thirty-six thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 113 121 226 242 337 339 363 674 678 726 1011 1243 1601 2022 2486 3202 3707 3729 4803 7414 7458 9606 11121 13673 17611 22242 27346 35222 38081 40777 41019 52833 76162 81554 82038 105666 114243 122331 180913 193721 228486 244662 361826 387442 418891 539537 542739 581163 837782 1079074 1085478 1162326 1256673 1618611 1990043 2513346 3237222 3980086 4607801 5934907 5970129 9215602 11869814 11940258 13823403 17804721 21890473 27646806 35609442 43780946 60967681 65283977 65671419 121935362 130567954 131342838 182903043 195851931 365806086 391703862 670644491 1341288982 2011933473 4023866946 7377089401 14754178802 22131268203 44262536406