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133706692080 = 2432513195912743
BaseRepresentation
bin111110010000110001…
…0100011010111110000
3110210010020201201020200
41330201202203113300
54142312403121310
6141231330235200
712442243062543
oct1744142432760
9423106651220
10133706692080
1151782a3a815
1221ab6125b00
13c7baacc460
1466858ac85a
15372849c9c0
hex1f218a35f0

133706692080 has 480 divisors, whose sum is σ = 517691865600. Its totient is φ = 30649300992.

The previous prime is 133706692057. The next prime is 133706692121. The reversal of 133706692080 is 80296607331.

133706692080 is a `hidden beast` number, since 13 + 370 + 6 + 69 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10486189 + ... + 10498931.

It is an arithmetic number, because the mean of its divisors is an integer number (1078524720).

Almost surely, 2133706692080 is an apocalyptic number.

133706692080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133706692080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258845932800).

133706692080 is an abundant number, since it is smaller than the sum of its proper divisors (383985173520).

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

133706692080 is a wasteful number, since it uses less digits than its factorization.

133706692080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12853 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 133706692080 in words is "one hundred thirty-three billion, seven hundred six million, six hundred ninety-two thousand, eighty".