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133982591424 = 263113524287
BaseRepresentation
bin111110011000111111…
…1000001100111000000
3110210211110212211222220
41330301333001213000
54143344020411144
6141314543531040
712452133144033
oct1746177014700
9423743784886
10133982591424
1151904753000
1221b725b9a80
13c83300c4c6
1466b03ab01a
1537427ea919
hex1f31fc19c0

133982591424 has 112 divisors (see below), whose sum is σ = 389919277056. Its totient is φ = 40600707840.

The previous prime is 133982591423. The next prime is 133982591429. The reversal of 133982591424 is 424195289331.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133982591423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6592 + ... + 517695.

Almost surely, 2133982591424 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 133982591424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194959638528).

133982591424 is an abundant number, since it is smaller than the sum of its proper divisors (255936685632).

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

133982591424 is an equidigital number, since it uses as much as digits as its factorization.

133982591424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524335 (or 524303 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 133982591424 in words is "one hundred thirty-three billion, nine hundred eighty-two million, five hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1331 1452 1936 2112 2662 2904 3872 3993 5324 5808 7744 7986 10648 11616 15972 21296 23232 31944 42592 63888 85184 127776 255552 524287 1048574 1572861 2097148 3145722 4194296 5767157 6291444 8388592 11534314 12582888 16777184 17301471 23068628 25165776 33554368 34602942 46137256 50331552 63438727 69205884 92274512 100663104 126877454 138411768 184549024 190316181 253754908 276823536 369098048 380632362 507509816 553647072 697825997 761264724 1015019632 1107294144 1395651994 1522529448 2030039264 2093477991 2791303988 3045058896 4060078528 4186955982 5582607976 6090117792 8373911964 11165215952 12180235584 16747823928 22330431904 33495647856 44660863808 66991295712 133982591424