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45923330234881 = 1141435437435541
BaseRepresentation
bin10100111000100010110111…
…10010010001101000000001
320000121020010211202221122101
422130101123302101220001
522004401440020004011
6241400515304110401
712446564635233001
oct1234213362215001
9200536124687571
1045923330234881
11136a5a7a776180
1251982ba465401
131c8172272c928
14b4a9b593a001
15549887c5c2c1
hex29c45bc91a01

45923330234881 has 32 divisors (see below), whose sum is σ = 52523354733696. Its totient is φ = 39775603392000.

The previous prime is 45923330234867. The next prime is 45923330234891. The reversal of 45923330234881 is 18843203332954.

It is a cyclic number.

It is not a de Polignac number, because 45923330234881 - 223 = 45923321846273 is a prime.

It is a super-3 number, since 3×459233302348813 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (45923330234891) 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, 105221971 + ... + 105657511.

It is an arithmetic number, because the mean of its divisors is an integer number (1641354835428).

Almost surely, 245923330234881 is an apocalyptic number.

45923330234881 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45923330234881 is a deficient number, since it is larger than the sum of its proper divisors (6600024498815).

45923330234881 is a wasteful number, since it uses less digits than its factorization.

45923330234881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441073.

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 45923330234881 in words is "forty-five trillion, nine hundred twenty-three billion, three hundred thirty million, two hundred thirty-four thousand, eight hundred eighty-one".

Divisors: 1 11 41 43 451 473 1763 5437 19393 59807 222917 233791 435541 2452087 2571701 4790951 9585431 17857181 18728263 105439741 196428991 206010893 767858783 2368036417 8446446613 26048400587 97089493097 101825565931 1067984424067 1120081225241 4174848203171 45923330234881