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115505120502192 = 243113769112324659
BaseRepresentation
bin11010010000110100100001…
…101011010110000110110000
3120010222011220110000002021010
4122100310201223112012300
5110114413441322032232
61045354153025430520
733220653363641241
oct3220644153260660
9503864813002233
10115505120502192
11338924a0347243
1210b557bb19b440
134c5b1172b3735
1420746989b8cc8
15d548473730cc
hex690d21ad61b0

115505120502192 has 160 divisors (see below), whose sum is σ = 301700927404800. Its totient is φ = 38075878342656.

The previous prime is 115505120502133. The next prime is 115505120502209. The reversal of 115505120502192 is 291205021505511.

It is a self number, because there is not a number n which added to its sum of digits gives 115505120502192.

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, 4684083559 + ... + 4684108217.

It is an arithmetic number, because the mean of its divisors is an integer number (1885630796280).

Almost surely, 2115505120502192 is an apocalyptic number.

115505120502192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115505120502192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150850463702400).

115505120502192 is an abundant number, since it is smaller than the sum of its proper divisors (186195806902608).

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

115505120502192 is a wasteful number, since it uses less digits than its factorization.

115505120502192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26675 (or 26669 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 39.

The spelling of 115505120502192 in words is "one hundred fifteen trillion, five hundred five billion, one hundred twenty million, five hundred two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 769 904 1123 1356 1538 1808 2246 2307 2712 3076 3369 4492 4614 5424 6152 6738 8984 9228 12304 13476 17968 18456 24659 26952 36912 49318 53904 73977 86897 98636 126899 147954 173794 197272 253798 260691 295908 347588 380697 394544 507596 521382 591816 695176 761394 863587 1015192 1042764 1183632 1390352 1522788 1727174 2030384 2085528 2590761 2786467 3045576 3454348 4171056 5181522 5572934 6091152 6908696 8359401 10363044 11145868 13817392 16718802 18962771 20726088 22291736 27692057 33437604 37925542 41452176 44583472 55384114 56888313 66875208 75851084 83076171 97585331 110768228 113776626 133750416 151702168 166152342 195170662 221536456 227553252 292755993 303404336 332304684 390341324 443072912 455106504 585511986 664609368 780682648 910213008 1171023972 1329218736 1561365296 2142793123 2342047944 3129202441 4285586246 4684095888 6258404882 6428379369 8571172492 9387607323 12516809764 12856758738 17142344984 18775214646 21295191833 25033619528 25713517476 34284689968 37550429292 42590383666 50067239056 51427034952 63885575499 75100858584 85180767332 102854069904 127771150998 150201717168 170361534664 255542301996 340723069328 511084603992 1022169207984 2406356677129 4812713354258 7219070031387 9625426708516 14438140062774 19250853417032 28876280125548 38501706834064 57752560251096 115505120502192