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23719382904 = 23373115729009
BaseRepresentation
bin10110000101110010…
…010000111101111000
32021020001012111102010
4112011302100331320
5342034130223104
614521352405520
71466534266560
oct260562207570
967201174363
1023719382904
11a071a78498
12471b6a68a0
132310126b19
14121026dda0
1593c560489
hex585c90f78

23719382904 has 128 divisors (see below), whose sum is σ = 70403788800. Its totient is φ = 6516357120.

The previous prime is 23719382881. The next prime is 23719382909. The reversal of 23719382904 is 40928391732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23719382909) 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 31 ways as a sum of consecutive naturals, for example, 803152 + ... + 832160.

It is an arithmetic number, because the mean of its divisors is an integer number (550029600).

Almost surely, 223719382904 is an apocalyptic number.

23719382904 is a gapful number since it is divisible by the number (24) 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 23719382904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35201894400).

23719382904 is an abundant number, since it is smaller than the sum of its proper divisors (46684405896).

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

23719382904 is a wasteful number, since it uses less digits than its factorization.

23719382904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29213 (or 29209 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 23719382904 in words is "twenty-three billion, seven hundred nineteen million, three hundred eighty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 157 168 186 217 248 314 372 434 471 628 651 744 868 942 1099 1256 1302 1736 1884 2198 2604 3297 3768 4396 4867 5208 6594 8792 9734 13188 14601 19468 26376 29009 29202 34069 38936 58018 58404 68138 87027 102207 116036 116808 136276 174054 203063 204414 232072 272552 348108 406126 408828 609189 696216 812252 817656 899279 1218378 1624504 1798558 2436756 2697837 3597116 4554413 4873512 5395674 6294953 7194232 9108826 10791348 12589906 13663239 18217652 18884859 21582696 25179812 27326478 31880891 36435304 37769718 50359624 54652956 63761782 75539436 95642673 109305912 127523564 141186803 151078872 191285346 255047128 282373606 382570692 423560409 564747212 765141384 847120818 988307621 1129494424 1694241636 1976615242 2964922863 3388483272 3953230484 5929845726 7906460968 11859691452 23719382904