Search a number
-
+
33140206926 = 2322333892
BaseRepresentation
bin11110110111010011…
…110110110101001110
310011112121010221110100
4132313103312311032
51020332343110201
623120245351530
72252150053041
oct366723666516
9104477127410
1033140206926
1113066867a72
12650a7085a6
133181b29bc8
14186550ac58
15cde665886
hex7b74f6d4e

33140206926 has 72 divisors (see below), whose sum is σ = 75260792880. Its totient is φ = 10539279696.

The previous prime is 33140206921. The next prime is 33140206933. The reversal of 33140206926 is 62960204133.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140206921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85193140 + ... + 85193528.

It is an arithmetic number, because the mean of its divisors is an integer number (1045288790).

Almost surely, 233140206926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33140206926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37630396440).

33140206926 is an abundant number, since it is smaller than the sum of its proper divisors (42120585954).

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

33140206926 is an frugal number, since it uses more digits than its factorization.

33140206926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 33140206926 in words is "thirty-three billion, one hundred forty million, two hundred six thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 389 414 529 778 1058 1167 1587 2334 3174 3501 4761 7002 8947 9522 12167 17894 24334 26841 36501 53682 73002 80523 109503 151321 161046 205781 219006 302642 411562 453963 617343 907926 1234686 1361889 1852029 2723778 3480383 3704058 4732963 6960766 9465926 10441149 14198889 20882298 28397778 31323447 42596667 62646894 80048809 85193334 160097618 240146427 480292854 720439281 1440878562 1841122607 3682245214 5523367821 11046735642 16570103463 33140206926