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20231475564064 = 252937990763421
BaseRepresentation
bin1001001100110100000011…
…11010100000111000100000
32122122002222022120111220011
410212122001322200320200
510122433030221022224
6111010113410454304
74155450552606532
oct446320172407040
978562868514804
1020231475564064
1164a01365823a6
122328bb4294394
13b39a875b2a1b
144dd2cc729852
15251401753394
hex126681ea0e20

20231475564064 has 96 divisors (see below), whose sum is σ = 41359109803200. Its totient is φ = 9730255610880.

The previous prime is 20231475564059. The next prime is 20231475564071. The reversal of 20231475564064 is 46046557413202.

It is a junction number, because it is equal to n+sod(n) for n = 20231475563999 and 20231475564017.

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 15 ways as a sum of consecutive naturals, for example, 318971074 + ... + 319034494.

It is an arithmetic number, because the mean of its divisors is an integer number (430824060450).

Almost surely, 220231475564064 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 20231475564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20679554901600).

20231475564064 is an abundant number, since it is smaller than the sum of its proper divisors (21127634239136).

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

20231475564064 is a wasteful number, since it uses less digits than its factorization.

20231475564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64746 (or 64738 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 20231475564064 in words is "twenty trillion, two hundred thirty-one billion, four hundred seventy-five million, five hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 379 464 758 907 928 1516 1814 3032 3628 6064 7256 10991 12128 14512 21982 26303 29024 43964 52606 63421 87928 105212 126842 175856 210424 253684 343753 351712 420848 507368 687506 841696 1014736 1375012 1839209 2029472 2750024 3678418 5500048 7356836 9968837 11000096 14713672 19937674 24036559 29427344 39875348 48073118 57522847 58854688 79750696 96146236 115045694 159501392 192292472 230091388 319002784 384584944 460182776 697060211 769169888 920365552 1394120422 1668162563 1840731104 2788240844 3336325126 5576481688 6672650252 11152963376 13345300504 21801159013 22305926752 26690601008 43602318026 53381202016 87204636052 174409272104 348818544208 632233611377 697637088416 1264467222754 2528934445508 5057868891016 10115737782032 20231475564064