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82758373008 = 24337531974463
BaseRepresentation
bin100110100010011001…
…0001000111010010000
321220121120110221102020
41031010302020322100
52323442120414013
6102004011051440
75656554364263
oct1150462107220
9256546427366
1082758373008
1132108a425a3
1214057740b80
137a5b748aac
144011244cda
152245734623
hex1344c88e90

82758373008 has 160 divisors (see below), whose sum is σ = 224899462656. Its totient is φ = 26194581504.

The previous prime is 82758373007. The next prime is 82758373021. The reversal of 82758373008 is 80037385728.

It is not an unprimeable number, because it can be changed into a prime (82758373007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18540985 + ... + 18545447.

Almost surely, 282758373008 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 82758373008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112449731328).

82758373008 is an abundant number, since it is smaller than the sum of its proper divisors (142141089648).

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

82758373008 is a wasteful number, since it uses less digits than its factorization.

82758373008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 82758373008 in words is "eighty-two billion, seven hundred fifty-eight million, three hundred seventy-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 53 74 106 111 148 159 197 212 222 296 318 394 424 444 591 592 636 788 848 888 1182 1272 1576 1776 1961 2364 2544 3152 3922 4463 4728 5883 7289 7844 8926 9456 10441 11766 13389 14578 15688 17852 20882 21867 23532 26778 29156 31323 31376 35704 41764 43734 47064 53556 58312 62646 71408 83528 87468 94128 107112 116624 125292 165131 167056 174936 214224 236539 250584 330262 349872 386317 473078 495393 501168 660524 709617 772634 879211 946156 990786 1158951 1321048 1419234 1545268 1758422 1892312 1981572 2317902 2637633 2642096 2838468 3090536 3516844 3784624 3963144 4635804 5275266 5676936 6181072 7033688 7926288 8751943 9271608 10550532 11353872 14067376 17503886 18543216 21101064 26255829 32530807 35007772 42202128 46598183 52511658 65061614 70015544 93196366 97592421 105023316 130123228 139794549 140031088 186392732 195184842 210046632 260246456 279589098 372785464 390369684 420093264 520492912 559178196 745570928 780739368 1118356392 1561478736 1724132771 2236712784 3448265542 5172398313 6896531084 10344796626 13793062168 20689593252 27586124336 41379186504 82758373008