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133922315520 = 283657229101
BaseRepresentation
bin111110010111001100…
…1000101110100000000
3110210200021110112000000
41330232121011310000
54143233103044040
6141304552000000
712450501620400
oct1745631056400
9423607415000
10133922315520
1151883723904
1221b56390000
13c823696aa6
1466a639a800
15373c391130
hex1f2e645d00

133922315520 has 1512 divisors, whose sum is σ = 584505489960. Its totient is φ = 29262643200.

The previous prime is 133922315519. The next prime is 133922315531. The reversal of 133922315520 is 25513229331.

133922315520 is a `hidden beast` number, since 1 + 33 + 92 + 2 + 3 + 15 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46097807616 + 87824507904 = 214704^2 + 296352^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 1325963470 + ... + 1325963570.

It is an arithmetic number, because the mean of its divisors is an integer number (386577705).

Almost surely, 2133922315520 is an apocalyptic number.

133922315520 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 133922315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292252744980).

133922315520 is an abundant number, since it is smaller than the sum of its proper divisors (450583174440).

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

133922315520 is an equidigital number, since it uses as much as digits as its factorization.

133922315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 133922315520 in words is "one hundred thirty-three billion, nine hundred twenty-two million, three hundred fifteen thousand, five hundred twenty".