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23090392904064 = 2731918787168457
BaseRepresentation
bin1010100000000001001101…
…01010101011000110000000
310000202102100011221002021120
411100000212222223012000
511011303111040412224
6121035325143152240
74602140314211313
oct520004652530600
9100672304832246
1023090392904064
1173a2642913502
12270b0a5a45680
13cb6551161705
1459b81c2ca97a
152a097a1b7779
hex150026aab180

23090392904064 has 128 divisors (see below), whose sum is σ = 64565773641600. Its totient is φ = 7291271614464.

The previous prime is 23090392904021. The next prime is 23090392904167. The reversal of 23090392904064 is 46040929309032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23090392903998 and 23090392904016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136985724 + ... + 137154180.

It is an arithmetic number, because the mean of its divisors is an integer number (504420106575).

Almost surely, 223090392904064 is an apocalyptic number.

23090392904064 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 23090392904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282886820800).

23090392904064 is an abundant number, since it is smaller than the sum of its proper divisors (41475380737536).

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

23090392904064 is a wasteful number, since it uses less digits than its factorization.

23090392904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187280 (or 187268 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The spelling of 23090392904064 in words is "twenty-three trillion, ninety billion, three hundred ninety-two million, nine hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 18787 37574 56361 75148 112722 150296 168457 225444 300592 336914 356953 450888 505371 601184 673828 713906 901776 1010742 1070859 1202368 1347656 1427812 1803552 2021484 2141718 2404736 2695312 2855624 3200683 3607104 4042968 4283436 5390624 5711248 6401366 7214208 8085936 8566872 9602049 10781248 11422496 12802732 16171872 17133744 19204098 21562496 22844992 25605464 32343744 34267488 38408196 45689984 51210928 64687488 68534976 76816392 102421856 137069952 153632784 204843712 307265568 409687424 614531136 1229062272 3164801659 6329603318 9494404977 12659206636 18988809954 25318413272 37977619908 50636826544 60131231521 75955239816 101273653088 120262463042 151910479632 180393694563 202547306176 240524926084 303820959264 360787389126 405094612352 481049852168 607641918528 721574778252 962099704336 1215283837056 1443149556504 1924199408672 2886299113008 3848398817344 5772598226016 7696797634688 11545196452032 23090392904064