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107863744648 = 2311191273531439
BaseRepresentation
bin110010001110100101…
…1100010000010001000
3101022102012122221221111
41210131023202002020
53231401104312043
6121315114220104
710535651462512
oct1443513420210
9338365587844
10107863744648
11418212a9920
1218aa3424634
13a22ca56a9a
1453135babb2
152c147bd09d
hex191d2e2088

107863744648 has 128 divisors (see below), whose sum is σ = 234897408000. Its totient is φ = 45920286720.

The previous prime is 107863744631. The next prime is 107863744663. The reversal of 107863744648 is 846447368701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 107863744592 and 107863744601.

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, 74956713 + ... + 74958151.

It is an arithmetic number, because the mean of its divisors is an integer number (1835136000).

Almost surely, 2107863744648 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 107863744648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117448704000).

107863744648 is an abundant number, since it is smaller than the sum of its proper divisors (127033663352).

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

107863744648 is a wasteful number, since it uses less digits than its factorization.

107863744648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 107863744648 in words is "one hundred seven billion, eight hundred sixty-three million, seven hundred forty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 127 152 209 254 353 418 508 706 836 1016 1397 1412 1439 1672 2413 2794 2824 2878 3883 4826 5588 5756 6707 7766 9652 11176 11512 13414 15532 15829 19304 26543 26828 27341 31064 31658 44831 53086 53656 54682 63316 73777 89662 106172 109364 126632 147554 179324 182753 212344 218728 295108 300751 358648 365506 493141 507967 590216 601502 731012 851789 986282 1015934 1203004 1462024 1703578 1972564 2010283 2031868 2406008 3407156 3472307 3945128 4020566 4063736 5587637 6814312 6944614 8041132 9369679 9651373 11175274 13889228 16082264 18739358 19302746 22350548 27778456 37478716 38195377 38605492 44701096 64511809 74957432 76390754 77210984 106165103 129023618 152781508 212330206 258047236 305563016 424660412 516094472 709629899 849320824 1225724371 1419259798 2451448742 2838519596 4902897484 5677039192 9805794968 13482968081 26965936162 53931872324 107863744648