Search a number
-
+
32104986144 = 2537112394837
BaseRepresentation
bin11101111001100110…
…110011011000100000
310001212110012021111220
4131321212303120200
51011222334024034
622425425135040
72214406610460
oct357146633040
9101773167456
1032104986144
1112685478300
12627ba8a480
13304850a62a
1417a7c31ba0
15c7d828749
hex7799b3620

32104986144 has 144 divisors (see below), whose sum is σ = 105867123264. Its totient is φ = 8338936320.

The previous prime is 32104986127. The next prime is 32104986157. The reversal of 32104986144 is 44168940123.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 32104986096 and 32104986105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116107 + ... + 278730.

It is an arithmetic number, because the mean of its divisors is an integer number (735188356).

Almost surely, 232104986144 is an apocalyptic number.

It is an amenable number.

32104986144 is an abundant number, since it is smaller than the sum of its proper divisors (73762137120).

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

32104986144 is a wasteful number, since it uses less digits than its factorization.

32104986144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394879 (or 394860 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 32104986144 in words is "thirty-two billion, one hundred four million, nine hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 7392 10164 11616 13552 20328 27104 40656 81312 394837 789674 1184511 1579348 2369022 2763859 3158696 4343207 4738044 5527718 6317392 8291577 8686414 9476088 11055436 12634784 13029621 16583154 17372828 18952176 22110872 26059242 30402449 33166308 34745656 37904352 44221744 47775277 52118484 60804898 66332616 69491312 88443488 91207347 95550554 104236968 121609796 132665232 138982624 143325831 182414694 191101108 208473936 243219592 265330464 286651662 334426939 364829388 382202216 416947872 486439184 573303324 668853878 729658776 764404432 972878368 1003280817 1146606648 1337707756 1459317552 1528808864 2006561634 2293213296 2675415512 2918635104 4013123268 4586426592 5350831024 8026246536 10701662048 16052493072 32104986144