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1090909982232 = 23347349689113
BaseRepresentation
bin11111101111111110100…
…11010100111000011000
310212021211101121000120000
433313333103110320120
5120333140423412412
62153053534533000
7141546523565010
oct17677723247030
93767741530500
101090909982232
1139071a277114
12157513667160
137bb4579ac35
143ab2c13cc40
151d59c9424dc
hexfdff4d4e18

1090909982232 has 160 divisors (see below), whose sum is σ = 3502077348000. Its totient is φ = 310795024896.

The previous prime is 1090909982219. The next prime is 1090909982251. The reversal of 1090909982232 is 2322899090901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1238508 + ... + 1927620.

It is an arithmetic number, because the mean of its divisors is an integer number (21887983425).

Almost surely, 21090909982232 is an apocalyptic number.

1090909982232 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 1090909982232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751038674000).

1090909982232 is an abundant number, since it is smaller than the sum of its proper divisors (2411167365768).

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

1090909982232 is a wasteful number, since it uses less digits than its factorization.

1090909982232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689487 (or 689474 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1090909982232 in words is "one trillion, ninety billion, nine hundred nine million, nine hundred eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 349 378 504 567 648 698 756 1047 1134 1396 1512 2094 2268 2443 2792 3141 4188 4536 4886 6282 7329 8376 9423 9772 12564 14658 18846 19544 21987 25128 28269 29316 37692 43974 56538 58632 65961 75384 87948 113076 131922 175896 197883 226152 263844 395766 527688 689113 791532 1378226 1583064 2067339 2756452 4134678 4823791 5512904 6202017 8269356 9647582 12404034 14471373 16538712 18606051 19295164 24808068 28942746 37212102 38590328 43414119 49616136 55818153 57885492 74424204 86828238 111636306 115770984 130242357 148848408 173656476 223272612 240500437 260484714 347312952 390727071 446545224 481000874 520969428 721501311 781454142 962001748 1041938856 1443002622 1562908284 1683503059 1924003496 2164503933 2886005244 3125816568 3367006118 4329007866 5050509177 5772010488 6493511799 6734012236 8658015732 10101018354 12987023598 13468024472 15151527531 17316031464 19480535397 20202036708 25974047196 30303055062 38961070794 40404073416 45454582593 51948094392 60606110124 77922141588 90909165186 121212220248 136363747779 155844283176 181818330372 272727495558 363636660744 545454991116 1090909982232