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23426515431 = 32111374333989
BaseRepresentation
bin10101110100010101…
…000100000111100111
32020110122010021202200
4111310111010013213
5340434141443211
614432331305543
71456350044544
oct256425040747
966418107680
1023426515431
119a31725860
1246595ab2b3
132294555667
1411c33d5bcb
159219aeb56
hex5745441e7

23426515431 has 48 divisors (see below), whose sum is σ = 37279176480. Its totient is φ = 14058178560.

The previous prime is 23426515403. The next prime is 23426515451. The reversal of 23426515431 is 13451562432.

23426515431 is a `hidden beast` number, since 23 + 42 + 6 + 51 + 543 + 1 = 666.

It is not a de Polignac number, because 23426515431 - 27 = 23426515303 is a prime.

It is a super-2 number, since 2×234265154312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23426515451) 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, 5870785 + ... + 5874773.

It is an arithmetic number, because the mean of its divisors is an integer number (776649510).

Almost surely, 223426515431 is an apocalyptic number.

23426515431 is a deficient number, since it is larger than the sum of its proper divisors (13852661049).

23426515431 is a wasteful number, since it uses less digits than its factorization.

23426515431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4573 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 23426515431 in words is "twenty-three billion, four hundred twenty-six million, five hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 137 411 433 1233 1299 1507 3897 3989 4521 4763 11967 13563 14289 35901 42867 43879 59321 131637 177963 394911 533889 546493 652531 1639479 1727237 1957593 4918437 5181711 5872779 6011423 15545133 18034269 18999607 54102807 56998821 170996463 236631469 709894407 2129683221 2602946159 7808838477 23426515431