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342612885888 = 27337213198191
BaseRepresentation
bin1001111110001010101…
…00011100000110000000
31012202100021120220212000
410333011110130012000
521103132344322023
6421221051104000
733516160323300
oct4770524340600
91182307526760
10342612885888
11122335051169
1256498442000
13264013163a0
1412822747600
158da376e243
hex4fc551c180

342612885888 has 768 divisors, whose sum is σ = 1333592064000. Its totient is φ = 85593231360.

The previous prime is 342612885877. The next prime is 342612885977. The reversal of 342612885888 is 888588216243.

342612885888 is a `hidden beast` number, since 3 + 4 + 2 + 612 + 8 + 8 + 5 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 41823873 + ... + 41832063.

It is an arithmetic number, because the mean of its divisors is an integer number (1736448000).

Almost surely, 2342612885888 is an apocalyptic number.

342612885888 is a gapful number since it is divisible by the number (38) 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 342612885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666796032000).

342612885888 is an abundant number, since it is smaller than the sum of its proper divisors (990979178112).

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

342612885888 is a wasteful number, since it uses less digits than its factorization.

342612885888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8235 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The spelling of 342612885888 in words is "three hundred forty-two billion, six hundred twelve million, eight hundred eighty-five thousand, eight hundred eighty-eight".