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44252842680 = 2332515724987
BaseRepresentation
bin101001001101101011…
…001100101010111000
311020020001112022220100
4221031223030222320
51211112211431210
632155055555400
73124424646024
oct511553145270
9136201468810
1044252842680
1117849637762
1286b022bb60
1342331a0517
1421db33b384
1512400535c0
hexa4daccab8

44252842680 has 144 divisors (see below), whose sum is σ = 144772659720. Its totient is φ = 11723242752.

The previous prime is 44252842649. The next prime is 44252842691. The reversal of 44252842680 is 8624825244.

44252842680 is a `hidden beast` number, since 4 + 4 + 2 + 528 + 42 + 6 + 80 = 666.

44252842680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8871147 + ... + 8876133.

Almost surely, 244252842680 is an apocalyptic number.

44252842680 is a gapful number since it is divisible by the number (40) 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 44252842680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72386329860).

44252842680 is an abundant number, since it is smaller than the sum of its proper divisors (100519817040).

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

44252842680 is a wasteful number, since it uses less digits than its factorization.

44252842680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 44252842680 in words is "forty-four billion, two hundred fifty-two million, eight hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 4987 5652 6280 7065 9420 9974 11304 14130 14961 18840 19948 24649 24935 28260 29922 39896 44883 49298 49870 56520 59844 73947 74805 89766 98596 99740 119688 123245 147894 149610 179532 197192 199480 221841 224415 246490 295788 299220 359064 369735 443682 448830 492980 591576 598440 739470 782959 887364 897660 985960 1109205 1478940 1565918 1774728 1795320 2218410 2348877 2957880 3131836 3914795 4436820 4697754 6263672 7046631 7829590 8873640 9395508 11744385 14093262 15659180 18791016 23488770 28186524 31318360 35233155 46977540 56373048 70466310 93955080 122924563 140932620 245849126 281865240 368773689 491698252 614622815 737547378 983396504 1106321067 1229245630 1475094756 1843868445 2212642134 2458491260 2950189512 3687736890 4425284268 4916982520 5531605335 7375473780 8850568536 11063210670 14750947560 22126421340 44252842680