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32331000042 = 23311232366491
BaseRepresentation
bin11110000111000100…
…111110100011101010
310002110012110222022000
4132013010332203222
51012203214000132
622504101311430
72223122652225
oct360704764352
9102405428260
1032331000042
1112791008950
126323705576
1330832a2473
1417c9c665bc
15c935c087c
hex78713e8ea

32331000042 has 64 divisors (see below), whose sum is σ = 81785963520. Its totient is φ = 9371300400.

The previous prime is 32331000041. The next prime is 32331000067. The reversal of 32331000042 is 24000013323.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32330999979 and 32331000024.

It is not an unprimeable number, because it can be changed into a prime (32331000041) by changing a digit.

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, 1169584 + ... + 1196907.

It is an arithmetic number, because the mean of its divisors is an integer number (1277905680).

Almost surely, 232331000042 is an apocalyptic number.

32331000042 is an abundant number, since it is smaller than the sum of its proper divisors (49454963478).

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

32331000042 is a wasteful number, since it uses less digits than its factorization.

32331000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366536 (or 2366530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32331000042 its reverse (24000013323), we get a palindrome (56331013365).

The spelling of 32331000042 in words is "thirty-two billion, three hundred thirty-one million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 2366491 4732982 7099473 14198946 21298419 26031401 42596838 52062802 54429293 63895257 78094203 108858586 127790514 156188406 163287879 234282609 326575758 468565218 489863637 598722223 702847827 979727274 1197444446 1405695654 1469590911 1796166669 2939181822 3592333338 5388500007 10777000014 16165500021 32331000042