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44121636252 = 22334317953077
BaseRepresentation
bin101001000101110110…
…101011110110011100
311012212220122100112000
4221011312223312130
51210330114330002
632134051442300
73121242502011
oct510566536634
9135786570460
1044121636252
11177915713a1
1286742b6390
134211c51895
1421c7b45708
15123378761c
hexa45dabd9c

44121636252 has 96 divisors (see below), whose sum is σ = 117705772800. Its totient is φ = 14284662336.

The previous prime is 44121636227. The next prime is 44121636271. The reversal of 44121636252 is 25263612144.

44121636252 is a `hidden beast` number, since 4 + 4 + 1 + 21 + 6 + 3 + 625 + 2 = 666.

It is a super-4 number, since 4×441216362524 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804738 + ... + 857814.

It is an arithmetic number, because the mean of its divisors is an integer number (1226101800).

Almost surely, 244121636252 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 44121636252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58852886400).

44121636252 is an abundant number, since it is smaller than the sum of its proper divisors (73584136548).

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

44121636252 is a wasteful number, since it uses less digits than its factorization.

44121636252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53312 (or 53304 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 44121636252 in words is "forty-four billion, one hundred twenty-one million, six hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 179 258 358 387 516 537 716 774 1074 1161 1548 1611 2148 2322 3222 4644 4833 6444 7697 9666 15394 19332 23091 30788 46182 53077 69273 92364 106154 138546 159231 207819 212308 277092 318462 415638 477693 636924 831276 955386 1433079 1910772 2282311 2866158 4564622 5732316 6846933 9129244 9500783 13693866 19001566 20540799 27387732 28502349 38003132 41081598 57004698 61622397 82163196 85507047 114009396 123244794 171014094 246489588 256521141 342028188 408533669 513042282 817067338 1026084564 1225601007 1634134676 2451202014 3676803021 4902404028 7353606042 11030409063 14707212084 22060818126 44121636252