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8953580142342 = 233113317950867
BaseRepresentation
bin1000001001001010101011…
…1101101011111100000110
31011200221202101122201202000
42002102222331223330012
52133143413004023332
631013115023530130
71612606030330263
oct202225275537406
934627671581660
108953580142342
112942212631000
12100731ba59946
134cc41ba696b4
1422d4d9a5626a
15107d832c4b7c
hex824aaf6bf06

8953580142342 has 256 divisors, whose sum is σ = 22877415014400. Its totient is φ = 2592395863200.

The previous prime is 8953580142329. The next prime is 8953580142391. The reversal of 8953580142342 is 2432410853598.

8953580142342 is a `hidden beast` number, since 8 + 9 + 5 + 3 + 580 + 14 + 2 + 3 + 42 = 666.

8953580142342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×89535801423423 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175993993 + ... + 176044859.

It is an arithmetic number, because the mean of its divisors is an integer number (89364902400).

Almost surely, 28953580142342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8953580142342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11438707507200).

8953580142342 is an abundant number, since it is smaller than the sum of its proper divisors (13923834872058).

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

8953580142342 is a wasteful number, since it uses less digits than its factorization.

8953580142342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51021 (or 50993 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 8953580142342 in words is "eight trillion, nine hundred fifty-three billion, five hundred eighty million, one hundred forty-two thousand, three hundred forty-two".