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23058636348 = 223114735310529
BaseRepresentation
bin10101011110011001…
…101101111000111100
32012111222220002112110
4111132121231320330
5334211002330343
614332030334020
71444262114016
oct253631557074
965458802473
1023058636348
119862aa9860
12457635a310
13223627c527
14118a5d31b6
158ee543833
hex55e66de3c

23058636348 has 96 divisors (see below), whose sum is σ = 60119055360. Its totient is φ = 6818775040.

The previous prime is 23058636331. The next prime is 23058636481. The reversal of 23058636348 is 84363685032.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23058636297 and 23058636306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184748 + ... + 2195276.

It is an arithmetic number, because the mean of its divisors is an integer number (626240160).

Almost surely, 223058636348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23058636348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30059527680).

23058636348 is an abundant number, since it is smaller than the sum of its proper divisors (37060419012).

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

23058636348 is a wasteful number, since it uses less digits than its factorization.

23058636348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 23058636348 in words is "twenty-three billion, fifty-eight million, six hundred thirty-six thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 353 517 564 706 1034 1059 1412 1551 2068 2118 3102 3883 4236 6204 7766 10529 11649 15532 16591 21058 23298 31587 33182 42116 46596 49773 63174 66364 99546 115819 126348 182501 199092 231638 347457 365002 463276 494863 547503 694914 730004 989726 1095006 1389828 1484589 1979452 2190012 2969178 3716737 5443493 5938356 7433474 10886986 11150211 14866948 16330479 21773972 22300422 32660958 40884107 44600844 65321916 81768214 122652321 163536428 174686639 245304642 349373278 490609284 524059917 698746556 1048119834 1921553029 2096239668 3843106058 5764659087 7686212116 11529318174 23058636348