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133098064704 = 26341137199317
BaseRepresentation
bin111101111110101000…
…0110100101101000000
3110201112211111020110000
41323331100310231000
54140041101032304
6141051105240000
712421202611653
oct1737520645500
9421484436400
10133098064704
11514a0429a90
1221966333000
13c7219a2a07
146628b1b89a
1536ded28939
hex1efd434b40

133098064704 has 560 divisors, whose sum is σ = 445667587200. Its totient is φ = 38922301440.

The previous prime is 133098064663. The next prime is 133098064727. The reversal of 133098064704 is 407460890331.

It is a self number, because there is not a number n which added to its sum of digits gives 133098064704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 419867554 + ... + 419867870.

Almost surely, 2133098064704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133098064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222833793600).

133098064704 is an abundant number, since it is smaller than the sum of its proper divisors (312569522496).

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

133098064704 is a wasteful number, since it uses less digits than its factorization.

133098064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 133098064704 in words is "one hundred thirty-three billion, ninety-eight million, sixty-four thousand, seven hundred four".