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348392498112 = 2635174712823
BaseRepresentation
bin1010001000111011100…
…11111010001111000000
31020022021001221122100000
411010131303322033000
521202001434414422
6424014352200000
734112330241561
oct5043563721700
91208231848300
10348392498112
1112483053439a
125762bb39000
1326b1283a089
1412c10188168
1590e0d71cac
hex511dcfa3c0

348392498112 has 168 divisors, whose sum is σ = 1036263120256. Its totient is φ = 116055307008.

The previous prime is 348392498101. The next prime is 348392498147. The reversal of 348392498112 is 211894293843.

348392498112 is a `hidden beast` number, since 3 + 4 + 8 + 39 + 2 + 498 + 112 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 27162933 + ... + 27175755.

Almost surely, 2348392498112 is an apocalyptic number.

348392498112 is a gapful number since it is divisible by the number (32) 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 348392498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518131560128).

348392498112 is an abundant number, since it is smaller than the sum of its proper divisors (687870622144).

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

348392498112 is a wasteful number, since it uses less digits than its factorization.

348392498112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597 (or 14575 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 348392498112 in words is "three hundred forty-eight billion, three hundred ninety-two million, four hundred ninety-eight thousand, one hundred twelve".