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18844149072 = 2437411678191
BaseRepresentation
bin10001100011001100…
…101110010101010000
31210122021120221212010
4101203030232111100
5302043100232242
612353515302520
71234655424060
oct214314562520
953567527763
1018844149072
117aa0038121
12379aa4aa40
131a140a0688
14caa9a93a0
1575455189c
hex46332e550

18844149072 has 160 divisors (see below), whose sum is σ = 57340329984. Its totient is φ = 5220633600.

The previous prime is 18844149059. The next prime is 18844149083. The reversal of 18844149072 is 27094144881.

It is a super-2 number, since 2×188441490722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2296497 + ... + 2304687.

Almost surely, 218844149072 is an apocalyptic number.

18844149072 is a gapful number since it is divisible by the number (12) 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 18844149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28670164992).

18844149072 is an abundant number, since it is smaller than the sum of its proper divisors (38496180912).

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

18844149072 is a wasteful number, since it uses less digits than its factorization.

18844149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 18844149072 in words is "eighteen billion, eight hundred forty-four million, one hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 167 168 246 287 328 334 336 492 501 574 656 668 861 984 1002 1148 1169 1336 1722 1968 2004 2296 2338 2672 3444 3507 4008 4592 4676 6847 6888 7014 8016 8191 9352 13694 13776 14028 16382 18704 20541 24573 27388 28056 32764 41082 47929 49146 54776 56112 57337 65528 82164 95858 98292 109552 114674 131056 143787 164328 172011 191716 196584 229348 287574 328656 335831 344022 383432 393168 458696 575148 671662 688044 766864 917392 1007493 1150296 1343324 1367897 1376088 2014986 2300592 2350817 2686648 2735794 2752176 4029972 4103691 4701634 5373296 5471588 7052451 8059944 8207382 9403268 9575279 10943176 14104902 16119888 16414764 18806536 19150558 21886352 28209804 28725837 32829528 37613072 38301116 56083777 56419608 57451674 65659056 76602232 112167554 112839216 114903348 153204464 168251331 224335108 229806696 336502662 392586439 448670216 459613392 673005324 785172878 897340432 1177759317 1346010648 1570345756 2355518634 2692021296 3140691512 4711037268 6281383024 9422074536 18844149072