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115111051728 = 2432329974547
BaseRepresentation
bin110101100110100100…
…1110100000111010000
3102000010021202022021020
41223031021310013100
53341221412123403
6124514205155440
711213362536621
oct1531511640720
9360107668236
10115111051728
1144900207a02
121a38655bb80
13ab1636b77a
1457ddd11a48
152edab88453
hex1acd2741d0

115111051728 has 120 divisors (see below), whose sum is σ = 311241725088. Its totient is φ = 36657198336.

The previous prime is 115111051669. The next prime is 115111051793. The reversal of 115111051728 is 827150111511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25313551 + ... + 25318097.

Almost surely, 2115111051728 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 115111051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155620862544).

115111051728 is an abundant number, since it is smaller than the sum of its proper divisors (196130673360).

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

115111051728 is a wasteful number, since it uses less digits than its factorization.

115111051728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 33.

The spelling of 115111051728 in words is "one hundred fifteen billion, one hundred eleven million, fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 997 1058 1104 1587 1994 2116 2991 3174 3988 4232 4547 5982 6348 7976 8464 9094 11964 12696 13641 15952 18188 22931 23928 25392 27282 36376 45862 47856 54564 68793 72752 91724 104581 109128 137586 183448 209162 218256 275172 313743 366896 418324 527413 550344 627486 836648 1054826 1100688 1254972 1582239 1673296 2109652 2405363 2509944 3164478 4219304 4533359 4810726 5019888 6328956 7216089 8438608 9066718 9621452 12657912 13600077 14432178 18133436 19242904 25315824 27200154 28864356 36266872 38485808 54400308 57728712 72533744 104267257 108800616 115457424 208534514 217601232 312801771 417069028 625603542 834138056 1251207084 1668276112 2398146911 2502414168 4796293822 5004828336 7194440733 9592587644 14388881466 19185175288 28777762932 38370350576 57555525864 115111051728