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133348134800 = 2452333370337
BaseRepresentation
bin111110000110000101…
…0110000111110010000
3110202012021001010010102
41330030022300332100
54141044110303200
6141132001151532
712430330305206
oct1741412607620
9422167033112
10133348134800
1151609600391
1221a1602b5a8
13c76173b29a
146650015076
153706c736d5
hex1f0c2b0f90

133348134800 has 30 divisors (see below), whose sum is σ = 320368894818. Its totient is φ = 53339253760.

The previous prime is 133348134797. The next prime is 133348134833. The reversal of 133348134800 is 8431843331.

It can be written as a sum of positive squares in 3 ways, for example, as 33006168976 + 100341965824 = 181676^2 + 316768^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 166684769 + ... + 166685568.

Almost surely, 2133348134800 is an apocalyptic number.

133348134800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133348134800 is an abundant number, since it is smaller than the sum of its proper divisors (187020760018).

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

133348134800 is a wasteful number, since it uses less digits than its factorization.

133348134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333370355 (or 333370344 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 133348134800 in words is "one hundred thirty-three billion, three hundred forty-eight million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 333370337 666740674 1333481348 1666851685 2666962696 3333703370 5333925392 6667406740 8334258425 13334813480 16668516850 26669626960 33337033700 66674067400 133348134800