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26423940831984 = 24327911532014553
BaseRepresentation
bin1100000001000010011011…
…00110110101101011110000
310110120002210212110200222200
412000201031212311223300
511430412212323110414
6132110554004303200
75365031613114063
oct600411546655360
9113502725420880
1026423940831984
11846836a802243
122b691783a1b00
1311989c7c32b27
14674cd5a468da
1530c53241c109
hex18084d9b5af0

26423940831984 has 120 divisors (see below), whose sum is σ = 74951400987840. Its totient is φ = 8688940056576.

The previous prime is 26423940831973. The next prime is 26423940831997. The reversal of 26423940831984 is 48913804932462.

26423940831984 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 39 + 408 + 3 + 198 + 4 = 666.

It is a super-2 number, since 2×264239408319842 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12109252 + ... + 14123804.

It is an arithmetic number, because the mean of its divisors is an integer number (624595008232).

Almost surely, 226423940831984 is an apocalyptic number.

26423940831984 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 26423940831984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37475700493920).

26423940831984 is an abundant number, since it is smaller than the sum of its proper divisors (48527460155856).

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

26423940831984 is a wasteful number, since it uses less digits than its factorization.

26423940831984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015799 (or 2015790 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 26423940831984 in words is "twenty-six trillion, four hundred twenty-three billion, nine hundred forty million, eight hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1153 1264 1422 1896 2306 2844 3459 3792 4612 5688 6918 9224 10377 11376 13836 18448 20754 27672 41508 55344 83016 91087 166032 182174 273261 364348 546522 728696 819783 1093044 1457392 1639566 2014553 2186088 3279132 4029106 4372176 6043659 6558264 8058212 12087318 13116528 16116424 18130977 24174636 32232848 36261954 48349272 72523908 96698544 145047816 159149687 290095632 318299374 477449061 636598748 954898122 1273197496 1432347183 1909796244 2322779609 2546394992 2864694366 3819592488 4645559218 5729388732 6968338827 7639184976 9291118436 11458777464 13936677654 18582236872 20905016481 22917554928 27873355308 37164473744 41810032962 55746710616 83620065924 111493421232 167240131848 183499589111 334480263696 366999178222 550498767333 733998356444 1100997534666 1467996712888 1651496301999 2201995069332 2935993425776 3302992603998 4403990138664 6605985207996 8807980277328 13211970415992 26423940831984