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12033680670 = 23251114398447
BaseRepresentation
bin10110011010100001…
…10110010100011110
31011001122111022112200
423031100312110132
5144121110240140
65310031312330
7604130412054
oct131520662436
934048438480
1012033680670
115115776440
1223ba07b6a6
13119a127c0b
148222a81d4
154a66c5030
hex2cd43651e

12033680670 has 96 divisors (see below), whose sum is σ = 34159656960. Its totient is φ = 2914883520.

The previous prime is 12033680669. The next prime is 12033680671. The reversal of 12033680670 is 7608633021.

It is a happy number.

12033680670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12033680669) and next prime (12033680671).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033680671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1420387 + ... + 1428833.

It is an arithmetic number, because the mean of its divisors is an integer number (355829760).

Almost surely, 212033680670 is an apocalyptic number.

12033680670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033680670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079828480).

12033680670 is an abundant number, since it is smaller than the sum of its proper divisors (22125976290).

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

12033680670 is a wasteful number, since it uses less digits than its factorization.

12033680670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12033680670 in words is "twelve billion, thirty-three million, six hundred eighty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1439 2878 4317 7195 8447 8634 12951 14390 15829 16894 21585 25341 25902 31658 42235 43170 47487 50682 64755 76023 79145 84470 92917 94974 126705 129510 142461 152046 158290 185834 237435 253410 278751 284922 380115 464585 474870 557502 712305 760230 836253 929170 1393755 1424610 1672506 2787510 4181265 8362530 12155233 24310466 36465699 60776165 72931398 109397097 121552330 133707563 182328495 218794194 267415126 364656990 401122689 546985485 668537815 802245378 1093970970 1203368067 1337075630 2005613445 2406736134 4011226890 6016840335 12033680670