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133466801333472 = 25322199372107087
BaseRepresentation
bin11110010110001100101001…
…010010000110010011100000
3122111120022010212100021111200
4132112030221102012103200
5114443210002120132342
61151505445130041200
740053441520632045
oct3626145122062340
9574508125307450
10133466801333472
1139587a52975912
1212b76915879200
135961b33278179
1424d5b831111cc
151066ba00ad94c
hex7963294864e0

133466801333472 has 72 divisors (see below), whose sum is σ = 379548122125536. Its totient is φ = 44488710383616.

The previous prime is 133466801333353. The next prime is 133466801333477. The reversal of 133466801333472 is 274333108664331.

133466801333472 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 66 + 80 + 1 + 3 + 33 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133466801333477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62288313 + ... + 64395399.

It is an arithmetic number, because the mean of its divisors is an integer number (5271501696188).

Almost surely, 2133466801333472 is an apocalyptic number.

133466801333472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133466801333472 is an abundant number, since it is smaller than the sum of its proper divisors (246081320792064).

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

133466801333472 is a wasteful number, since it uses less digits than its factorization.

133466801333472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327040 (or 2327029 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 133466801333472 in words is "one hundred thirty-three trillion, four hundred sixty-six billion, eight hundred one million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 219937 439874 659811 879748 1319622 1759496 1979433 2107087 2639244 3518992 3958866 4214174 5278488 6321261 7037984 7917732 8428348 10556976 12642522 15835464 16856696 18963783 21113952 25285044 31670928 33713392 37927566 50570088 63341856 67426784 75855132 101140176 151710264 202280352 303420528 606841056 463426393519 926852787038 1390279180557 1853705574076 2780558361114 3707411148152 4170837541671 5561116722228 7414822296304 8341675083342 11122233444456 14829644592608 16683350166684 22244466888912 33366700333368 44488933777824 66733400666736 133466801333472