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115106682816 = 26321910517789
BaseRepresentation
bin110101100110011100…
…1001001011111000000
3102000002222112100020200
41223030321021133000
53341214302322231
6124513531405200
711213310442356
oct1531471113700
9360088470220
10115106682816
11448a87a3534
121a384bb3800
13ab1549c008
1457dd4d57d6
152eda5c3be6
hex1acce497c0

115106682816 has 84 divisors (see below), whose sum is σ = 347297425800. Its totient is φ = 36349475328.

The previous prime is 115106682793. The next prime is 115106682833. The reversal of 115106682816 is 618286601511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5247951 + ... + 5269838.

Almost surely, 2115106682816 is an apocalyptic number.

115106682816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115106682816 is an abundant number, since it is smaller than the sum of its proper divisors (232190742984).

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

115106682816 is a wasteful number, since it uses less digits than its factorization.

115106682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517826 (or 10517813 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 115106682816 in words is "one hundred fifteen billion, one hundred six million, six hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 10517789 21035578 31553367 42071156 63106734 84142312 94660101 126213468 168284624 189320202 199837991 252426936 336569248 378640404 399675982 504853872 599513973 673138496 757280808 799351964 1009707744 1199027946 1514561616 1598703928 1798541919 2019415488 2398055892 3029123232 3197407856 3597083838 4796111784 6058246464 6394815712 7194167676 9592223568 12789631424 14388335352 19184447136 28776670704 38368894272 57553341408 115106682816