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23485514712 = 23311414335011
BaseRepresentation
bin10101110111110110…
…001000001111011000
32020121202010202120020
4111313312020033120
5341044242432322
614442240030440
71460664403242
oct256766101730
966552122506
1023485514712
119a61a628a0
124675302420
1322a3841c8a
1411cb193092
15926c6605c
hex577d883d8

23485514712 has 128 divisors (see below), whose sum is σ = 65778289920. Its totient is φ = 6925824000.

The previous prime is 23485514693. The next prime is 23485514713. The reversal of 23485514712 is 21741558432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23485514713) 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, 4684287 + ... + 4689297.

It is an arithmetic number, because the mean of its divisors is an integer number (513892890).

Almost surely, 223485514712 is an apocalyptic number.

23485514712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23485514712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32889144960).

23485514712 is an abundant number, since it is smaller than the sum of its proper divisors (42292775208).

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

23485514712 is a wasteful number, since it uses less digits than its factorization.

23485514712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5501 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The spelling of 23485514712 in words is "twenty-three billion, four hundred eighty-five million, five hundred fourteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 433 451 492 866 902 984 1299 1353 1732 1804 2598 2706 3464 3608 4763 5011 5196 5412 9526 10022 10392 10824 14289 15033 17753 19052 20044 28578 30066 35506 38104 40088 53259 55121 57156 60132 71012 106518 110242 114312 120264 142024 165363 195283 205451 213036 220484 330726 390566 410902 426072 440968 585849 616353 661452 781132 821804 1171698 1232706 1322904 1562264 1643608 2169763 2259961 2343396 2465412 4339526 4519922 4686792 4930824 6509289 6779883 8679052 9039844 13018578 13559766 17358104 18079688 23867393 26037156 27119532 47734786 52074312 54239064 71602179 88960283 95469572 143204358 177920566 190939144 266880849 286408716 355841132 533761698 572817432 711682264 978563113 1067523396 1957126226 2135046792 2935689339 3914252452 5871378678 7828504904 11742757356 23485514712