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20523230652704 = 2513331601247999
BaseRepresentation
bin1001010101010011011111…
…10111110110100100100000
32200200000001020020122111212
410222221233313312210200
510142223034021341304
6111352124134525252
74215516534132563
oct452515767664440
980600036218455
1020523230652704
1165a294273376a
122375658506828
13b5b44221b050
1450d4888504da
15258cca18a66e
hex12aa6fdf6920

20523230652704 has 96 divisors (see below), whose sum is σ = 43717451904000. Its totient is φ = 9427891968000.

The previous prime is 20523230652703. The next prime is 20523230652709. The reversal of 20523230652704 is 40725603232502.

20523230652704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205232306527043 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20523230652703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82631297 + ... + 82879295.

It is an arithmetic number, because the mean of its divisors is an integer number (455390124000).

Almost surely, 220523230652704 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 20523230652704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858725952000).

20523230652704 is an abundant number, since it is smaller than the sum of its proper divisors (23194221251296).

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

20523230652704 is a wasteful number, since it uses less digits than its factorization.

20523230652704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248954 (or 248946 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 41.

The spelling of 20523230652704 in words is "twenty trillion, five hundred twenty-three billion, two hundred thirty million, six hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 331 416 601 662 1202 1324 2404 2648 4303 4808 5296 7813 8606 9616 10592 15626 17212 19232 31252 34424 62504 68848 125008 137696 198931 247999 250016 397862 495998 795724 991996 1591448 1983992 2586103 3182896 3223987 3967984 5172206 6365792 6447974 7935968 10344412 12895948 20688824 25791896 41377648 51583792 82087669 82755296 103167584 149047399 164175338 298094798 328350676 596189596 656701352 1067139697 1192379192 1313402704 1937616187 2134279394 2384758384 2626805408 3875232374 4268558788 4769516768 7750464748 8537117576 15500929496 17074235152 31001858992 34148470304 49334689069 62003717984 98669378138 197338756276 394677512552 641350957897 789355025104 1282701915794 1578710050208 2565403831588 5130807663176 10261615326352 20523230652704