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1104963071832 = 2333431131052803
BaseRepresentation
bin10000000101000100111…
…011100110111101011000
310220122002202221221101000
4100011010323212331120
5121100431021244312
62203340225225000
7142555005066504
oct20050473467530
93818082857330
101104963071832
11396680936354
1215a195a92160
13802750a7579
143b6a26b5304
151db21560adc
hex10144ee6f58

1104963071832 has 128 divisors (see below), whose sum is σ = 3168518918400. Its totient is φ = 356571403776.

The previous prime is 1104963071827. The next prime is 1104963071851. The reversal of 1104963071832 is 2381703694011.

1104963071832 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 630 + 7 + 1 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×11049630718322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523143 + ... + 1575945.

It is an arithmetic number, because the mean of its divisors is an integer number (24754054050).

Almost surely, 21104963071832 is an apocalyptic number.

1104963071832 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 1104963071832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584259459200).

1104963071832 is an abundant number, since it is smaller than the sum of its proper divisors (2063555846568).

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

1104963071832 is a wasteful number, since it uses less digits than its factorization.

1104963071832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052974 (or 1052964 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1104963071832 in words is "one trillion, one hundred four billion, nine hundred sixty-three million, seventy-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 113 129 172 216 226 258 339 344 387 452 516 678 774 904 1017 1032 1161 1356 1548 2034 2322 2712 3051 3096 4068 4644 4859 6102 8136 9288 9718 12204 14577 19436 24408 29154 38872 43731 58308 87462 116616 131193 174924 262386 349848 524772 1049544 1052803 2105606 3158409 4211212 6316818 8422424 9475227 12633636 18950454 25267272 28425681 37900908 45270529 56851362 75801816 90541058 113702724 118966739 135811587 181082116 227405448 237933478 271623174 356900217 362164232 407434761 475866956 543246348 713800434 814869522 951733912 1070700651 1086492696 1222304283 1427600868 1629739044 2141401302 2444608566 2855201736 3212101953 3259478088 4282802604 4889217132 5115569777 6424203906 8565605208 9778434264 10231139554 12848407812 15346709331 20462279108 25696815624 30693418662 40924558216 46040127993 61386837324 92080255986 122773674648 138120383979 184160511972 276240767958 368321023944 552481535916 1104963071832