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342789549696 = 27331179157727
BaseRepresentation
bin1001111110011111101…
…10010110111010000000
31012202210121000101001000
410333033312112322000
521104013111042241
6421250401412000
733523434045156
oct4771766267200
91182717011030
10342789549696
11122415845310
125652763a000
132642babc899
141283bdb33d6
158db4018eb6
hex4fcfd96e80

342789549696 has 512 divisors, whose sum is σ = 1126315008000. Its totient is φ = 101767311360.

The previous prime is 342789549691. The next prime is 342789549721. The reversal of 342789549696 is 696945987243.

342789549696 is a `hidden beast` number, since 3 + 4 + 2 + 78 + 9 + 549 + 6 + 9 + 6 = 666.

It is a super-3 number, since 3×3427895496963 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (342789549691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471512085 + ... + 471512811.

It is an arithmetic number, because the mean of its divisors is an integer number (2199834000).

Almost surely, 2342789549696 is an apocalyptic number.

342789549696 is a gapful number since it is divisible by the number (36) 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 342789549696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563157504000).

342789549696 is an abundant number, since it is smaller than the sum of its proper divisors (783525458304).

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

342789549696 is a wasteful number, since it uses less digits than its factorization.

342789549696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 979 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 342789549696 in words is "three hundred forty-two billion, seven hundred eighty-nine million, five hundred forty-nine thousand, six hundred ninety-six".