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44870831680 = 2651924113061
BaseRepresentation
bin101001110010100000…
…101000111001000000
311021211010101102102211
4221302200220321000
51213343413103210
632340253351504
73145640530153
oct516240507100
9137733342384
1044870831680
1118036461a74
128843198594
13430122709c
142259447c9a
15127942638a
hexa72828e40

44870831680 has 112 divisors (see below), whose sum is σ = 112555690560. Its totient is φ = 16991078400.

The previous prime is 44870831657. The next prime is 44870831693. The reversal of 44870831680 is 8613807844.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14657350 + ... + 14660410.

Almost surely, 244870831680 is an apocalyptic number.

44870831680 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 44870831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56277845280).

44870831680 is an abundant number, since it is smaller than the sum of its proper divisors (67684858880).

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

44870831680 is a wasteful number, since it uses less digits than its factorization.

44870831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 44870831680 in words is "forty-four billion, eight hundred seventy million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 2411 3040 3061 4822 6080 6122 9644 12055 12244 15305 19288 24110 24488 30610 38576 45809 48220 48976 58159 61220 77152 91618 96440 97952 116318 122440 154304 183236 192880 195904 229045 232636 244880 290795 366472 385760 458090 465272 489760 581590 732944 771520 916180 930544 979520 1163180 1465888 1832360 1861088 2326360 2931776 3664720 3722176 4652720 7329440 7380071 9305440 14658880 14760142 18610880 29520284 36900355 59040568 73800710 118081136 140221349 147601420 236162272 280442698 295202840 472324544 560885396 590405680 701106745 1121770792 1180811360 1402213490 2243541584 2361622720 2804426980 4487083168 5608853960 8974166336 11217707920 22435415840 44870831680