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23258293542 = 232112231373389
BaseRepresentation
bin10101101010010011…
…010110010100100110
32020000220120201201100
4111222103112110212
5340113110343132
614403521540530
71452235142661
oct255223262446
966026521640
1023258293542
119955778200
1246111a4746
132268746793
1411a8d266d8
15911d3137c
hex56a4d6526

23258293542 has 144 divisors (see below), whose sum is σ = 58237976160. Its totient is φ = 6690351360.

The previous prime is 23258293493. The next prime is 23258293621. The reversal of 23258293542 is 24539285232.

23258293542 is a `hidden beast` number, since 2 + 3 + 25 + 82 + 9 + 3 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6861184 + ... + 6864572.

It is an arithmetic number, because the mean of its divisors is an integer number (404430390).

Almost surely, 223258293542 is an apocalyptic number.

23258293542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23258293542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29118988080).

23258293542 is an abundant number, since it is smaller than the sum of its proper divisors (34979682618).

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

23258293542 is a wasteful number, since it uses less digits than its factorization.

23258293542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3565 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 23258293542 in words is "twenty-three billion, two hundred fifty-eight million, two hundred ninety-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 137 138 198 207 242 253 274 363 411 414 506 726 759 822 1089 1233 1507 1518 2178 2277 2466 2783 3014 3151 3389 4521 4554 5566 6302 6778 8349 9042 9453 10167 13563 16577 16698 18906 20334 25047 27126 28359 30501 33154 34661 37279 49731 50094 56718 61002 69322 74558 77947 99462 103983 111837 149193 155894 207966 223674 233841 298386 311949 335511 381271 410069 464293 467682 623898 671022 701523 762542 820138 857417 928586 1143813 1230207 1392879 1403046 1714834 2287626 2460414 2572251 2785758 3431439 3690621 4178637 5107223 5144502 6862878 7381242 7716753 8357274 9431587 10214446 10678739 15321669 15433506 18863174 21357478 28294761 30643338 32036217 45965007 56179453 56589522 64072434 84884283 91930014 96108651 112358906 117466129 168538359 169768566 192217302 234932258 337076718 352398387 505615077 704796774 1011230154 1057195161 1292127419 2114390322 2584254838 3876382257 7752764514 11629146771 23258293542