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133033434320 = 2451662917929
BaseRepresentation
bin111101111100101101…
…0010001110011010000
3110201101022212200020002
41323321122101303100
54134423024344240
6141040440105132
712416456351123
oct1737132216320
9421338780202
10133033434320
11514679a6246
12219487651a8
13c711494297
1466202d63ba
1536d930dd15
hex1ef9691cd0

133033434320 has 20 divisors (see below), whose sum is σ = 309302734980. Its totient is φ = 53213373696.

The previous prime is 133033434311. The next prime is 133033434343. The reversal of 133033434320 is 23434330331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80790103696 + 52243330624 = 284236^2 + 228568^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 831458885 + ... + 831459044.

It is an arithmetic number, because the mean of its divisors is an integer number (15465136749).

Almost surely, 2133033434320 is an apocalyptic number.

133033434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033434320 is an abundant number, since it is smaller than the sum of its proper divisors (176269300660).

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

133033434320 is a wasteful number, since it uses less digits than its factorization.

133033434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662917942 (or 1662917936 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 133033434320 its reverse (23434330331), we get a palindrome (156467764651).

The spelling of 133033434320 in words is "one hundred thirty-three billion, thirty-three million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1662917929 3325835858 6651671716 8314589645 13303343432 16629179290 26606686864 33258358580 66516717160 133033434320