Search a number
-
+
12195120593496 = 2331733658780279
BaseRepresentation
bin1011000101110110010111…
…0101001011101001011000
31121011211201220220020220110
42301131211311023221120
53044301101332442441
641534205553324320
72366032312464411
oct261354565135130
947154656806813
1012195120593496
113981a15715745
12144b5b52666a0
136a5cc1b54279
14302365a30808
15162352d0eb16
hexb1765d4ba58

12195120593496 has 64 divisors (see below), whose sum is σ = 30665251641600. Its totient is φ = 4041382049408.

The previous prime is 12195120593483. The next prime is 12195120593503. The reversal of 12195120593496 is 69439502159121.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 151869085 + ... + 151949363.

It is an arithmetic number, because the mean of its divisors is an integer number (479144556900).

Almost surely, 212195120593496 is an apocalyptic number.

It is an amenable number.

12195120593496 is an abundant number, since it is smaller than the sum of its proper divisors (18470131048104).

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

12195120593496 is a wasteful number, since it uses less digits than its factorization.

12195120593496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117048 (or 117044 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The spelling of 12195120593496 in words is "twelve trillion, one hundred ninety-five billion, one hundred twenty million, five hundred ninety-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 173 346 519 692 1038 1384 2076 4152 36587 73174 80279 109761 146348 160558 219522 240837 292696 321116 439044 481674 642232 878088 963348 1926696 6329551 12659102 13888267 18988653 25318204 27776534 37977306 41664801 50636408 55553068 75954612 83329602 111106136 151909224 166659204 333318408 2937167773 5874335546 8811503319 11748671092 17623006638 23497342184 35246013276 70492026552 508130024729 1016260049458 1524390074187 2032520098916 3048780148374 4065040197832 6097560296748 12195120593496