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1086893036955 = 345114721532411
BaseRepresentation
bin11111101000011111101…
…11111001010110011011
310211220110110000001120000
433310033313321112123
5120301424104140310
62151151201504043
7141345136244205
oct17641767712633
93756413001500
101086893036955
11389a48869730
12156792342023
137b6554c563b
143a86a857775
151d414e714c0
hexfd0fdf959b

1086893036955 has 160 divisors (see below), whose sum is σ = 2172611662848. Its totient is φ = 515312755200.

The previous prime is 1086893036927. The next prime is 1086893036969. The reversal of 1086893036955 is 5596303986801.

It is not a de Polignac number, because 1086893036955 - 210 = 1086893035931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1086893036892 and 1086893036901.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 450804700 + ... + 450807110.

Almost surely, 21086893036955 is an apocalyptic number.

1086893036955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1086893036955 is a deficient number, since it is larger than the sum of its proper divisors (1085718625893).

1086893036955 is a wasteful number, since it uses less digits than its factorization.

1086893036955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 1086893036955 in words is "one trillion, eighty-six billion, eight hundred ninety-three million, thirty-six thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 81 99 135 141 165 235 297 405 423 495 517 705 891 1269 1485 1551 2115 2153 2411 2585 3807 4455 4653 6345 6459 7233 7755 10765 12055 13959 19035 19377 21699 23265 23683 26521 32295 36165 41877 58131 65097 69795 71049 79563 96885 101191 108495 113317 118415 132605 174393 195291 209385 213147 238689 290655 303573 325485 339951 355245 397815 505955 566585 639441 716067 871965 910719 976455 1019853 1065735 1113101 1193445 1246487 1517865 1699755 1918323 2148201 2732157 3059559 3197205 3339303 3580335 3739461 4553595 5099265 5190883 5565505 6232435 8196471 9178677 9591615 10017909 10741005 11218383 13660785 15297795 15572649 16696515 18697305 25954415 30053727 33655149 40982355 45893385 46717947 50089545 56091915 57099713 77863245 90161181 100965447 140153841 150268635 168275745 171299139 233589735 243971501 285498565 420461523 450805905 504827235 513897417 700769205 731914503 856495695 1219857505 1541692251 2102307615 2195743509 2569487085 2683686511 3659572515 4625076753 6587230527 7708461255 8051059533 10978717545 13418432555 19761691581 23125383765 24153178599 32936152635 40255297665 72459535797 98808457905 120765892995 217378607391 362297678985 1086893036955