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23051346444 = 223573387911
BaseRepresentation
bin10101011101111101…
…111010001000001100
32012111111011201200000
4111131331322020030
5334202121041234
614331210204300
71444143132450
oct253575721014
965444151600
1023051346444
11985997a845
124573a23690
1322348c9389
141189656660
158edaa3899
hex55df7a20c

23051346444 has 72 divisors (see below), whose sum is σ = 69059198208. Its totient is φ = 6586097040.

The previous prime is 23051346403. The next prime is 23051346473. The reversal of 23051346444 is 44464315032.

23051346444 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 1 + 3 + 4 + 644 + 4 = 666.

It is a super-2 number, since 2×230513464442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23051346399 and 23051346408.

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 23 ways as a sum of consecutive naturals, for example, 1687152 + ... + 1700759.

Almost surely, 223051346444 is an apocalyptic number.

It is an amenable number.

23051346444 is an abundant number, since it is smaller than the sum of its proper divisors (46007851764).

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

23051346444 is a wasteful number, since it uses less digits than its factorization.

23051346444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387937 (or 3387923 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23051346444 in words is "twenty-three billion, fifty-one million, three hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 3387911 6775822 10163733 13551644 20327466 23715377 30491199 40654932 47430754 60982398 71146131 91473597 94861508 121964796 142292262 182947194 213438393 274420791 284584524 365894388 426876786 548841582 640315179 823262373 853753572 1097683164 1280630358 1646524746 1920945537 2561260716 3293049492 3841891074 5762836611 7683782148 11525673222 23051346444