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133462532192 = 25114130412
BaseRepresentation
bin111110001001011111…
…1001010000001100000
3110202111020022002211212
41330102333022001200
54141312402012232
6141151205125252
712433216543253
oct1742277120140
9422436262755
10133462532192
1151668135890
1221a483b9828
13c77c353052
1466612b309a
153711d1deb2
hex1f12fca060

133462532192 has 72 divisors (see below), whose sum is σ = 293728956696. Its totient is φ = 59165696000.

The previous prime is 133462532191. The next prime is 133462532197. The reversal of 133462532192 is 291235264331.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133462532191) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43886192 + ... + 43889232.

It is an arithmetic number, because the mean of its divisors is an integer number (4079568843).

Almost surely, 2133462532192 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 133462532192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146864478348).

133462532192 is an abundant number, since it is smaller than the sum of its proper divisors (160266424504).

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

133462532192 is an frugal number, since it uses more digits than its factorization.

133462532192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 3095 counting only the distinct ones).

The product of its digits is 233280, while the sum is 41.

It can be divided in two parts, 1334 and 62532192, that added together give a palindrome (62533526).

The spelling of 133462532192 in words is "one hundred thirty-three billion, four hundred sixty-two million, five hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3041 3608 6082 7216 12164 14432 24328 33451 48656 66902 97312 124681 133804 249362 267608 498724 535216 997448 1070432 1371491 1994896 2742982 3989792 5485964 9247681 10971928 18495362 21943856 36990724 43887712 73981448 101724491 147962896 203448982 295925792 379154921 406897964 758309842 813795928 1516619684 1627591856 3033239368 3255183712 4170704131 6066478736 8341408262 12132957472 16682816524 33365633048 66731266096 133462532192