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1353425263956 = 22353737632779
BaseRepresentation
bin10011101100011110011…
…011101001110101010100
311210101102112102001200000
4103230132123221311110
5134133303331421311
62513431024251300
7166532065633413
oct23543633516524
94711375361600
101353425263956
11481a913067a7
1219a377470b30
139a82069736c
1449712b8147a
1525314363056
hex13b1e6e9d54

1353425263956 has 72 divisors (see below), whose sum is σ = 3643756290720. Its totient is φ = 438948722592.

The previous prime is 1353425263933. The next prime is 1353425263961. The reversal of 1353425263956 is 6593625243531.

It is a happy number.

1353425263956 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 2 + 526 + 39 + 56 = 666.

It is a super-2 number, since 2×13534252639562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18780426 + ... + 18852353.

It is an arithmetic number, because the mean of its divisors is an integer number (50607726260).

Almost surely, 21353425263956 is an apocalyptic number.

It is an amenable number.

1353425263956 is an abundant number, since it is smaller than the sum of its proper divisors (2290331026764).

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

1353425263956 is a wasteful number, since it uses less digits than its factorization.

1353425263956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37632835 (or 37632821 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 54.

The spelling of 1353425263956 in words is "one trillion, three hundred fifty-three billion, four hundred twenty-five million, two hundred sixty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1332 1998 2997 3996 5994 8991 11988 17982 35964 37632779 75265558 112898337 150531116 225796674 338695011 451593348 677390022 1016085033 1354780044 1392412823 2032170066 2784825646 3048255099 4064340132 4177238469 5569651292 6096510198 8354476938 9144765297 12193020396 12531715407 16708953876 18289530594 25063430814 36579061188 37595146221 50126861628 75190292442 112785438663 150380584884 225570877326 338356315989 451141754652 676712631978 1353425263956