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134220602880 = 293557132371
BaseRepresentation
bin111110100000000101…
…0111101111000000000
3110211110001202002100000
41331000022331320000
54144340433243010
6141354325200000
712461053205010
oct1750012757000
9424401662300
10134220602880
1151a17038591
122201a260000
13c8704151a0
1466d3c45c40
1537586627c0
hex1f402bde00

134220602880 has 960 divisors, whose sum is σ = 593555010048. Its totient is φ = 28307128320.

The previous prime is 134220602861. The next prime is 134220603037. The reversal of 134220602880 is 88206022431.

134220602880 is a `hidden beast` number, since 1 + 3 + 42 + 2 + 0 + 602 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56608095 + ... + 56610465.

Almost surely, 2134220602880 is an apocalyptic number.

134220602880 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 134220602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296777505024).

134220602880 is an abundant number, since it is smaller than the sum of its proper divisors (459334407168).

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

134220602880 is an equidigital number, since it uses as much as digits as its factorization.

134220602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 134220602880 in words is "one hundred thirty-four billion, two hundred twenty million, six hundred two thousand, eight hundred eighty".