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420058736712 = 23325834149121
BaseRepresentation
bin1100001110011010111…
…00111010100001001000
31111011020121121202212100
412013031130322201020
523340240014033322
6520550004313400
742230306230656
oct6071534724110
91434217552770
10420058736712
1115216722a15a
12694b09a2860
13307c423cc14
141648c1b7dd6
15add78b7dac
hex61cd73a848

420058736712 has 24 divisors (see below), whose sum is σ = 1137659078790. Its totient is φ = 140019578880.

The previous prime is 420058736707. The next prime is 420058736717. The reversal of 420058736712 is 217637850024.

420058736712 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 587 + 3 + 67 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (420058736707) and next prime (420058736717).

It can be written as a sum of positive squares in only one way, i.e., 230682326436 + 189376410276 = 480294^2 + 435174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (420058736717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2917074489 + ... + 2917074632.

Almost surely, 2420058736712 is an apocalyptic number.

It is an amenable number.

420058736712 is an abundant number, since it is smaller than the sum of its proper divisors (717600342078).

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

420058736712 is a wasteful number, since it uses less digits than its factorization.

420058736712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834149133 (or 5834149126 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 420058736712 in words is "four hundred twenty billion, fifty-eight million, seven hundred thirty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5834149121 11668298242 17502447363 23336596484 35004894726 46673192968 52507342089 70009789452 105014684178 140019578904 210029368356 420058736712