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34684801662816 = 2538374464959
BaseRepresentation
bin1111110001011101011110…
…10010000011111101100000
311112210211112110112100000000
413320232233102003331200
514021233433211202231
6201433551121300000
710206615501446034
oct770565722037540
9145724473470000
1034684801662816
1110062818342678
123a82191a94600
1316479bba34396
1487ca792dc1c4
154023708ea6e6
hex1f8baf483f60

34684801662816 has 216 divisors, whose sum is σ = 105191573235840. Its totient is φ = 11249122344192.

The previous prime is 34684801662811. The next prime is 34684801662821. The reversal of 34684801662816 is 61826610848643.

It is a happy number.

34684801662816 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 480 + 16 + 62 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (34684801662811) and next prime (34684801662821).

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34684801662811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5535745 + ... + 10000703.

It is an arithmetic number, because the mean of its divisors is an integer number (486998024240).

Almost surely, 234684801662816 is an apocalyptic number.

34684801662816 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 34684801662816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52595786617920).

34684801662816 is an abundant number, since it is smaller than the sum of its proper divisors (70506771573024).

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

34684801662816 is an frugal number, since it uses more digits than its factorization.

34684801662816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465030 (or 4465001 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 34684801662816 in words is "thirty-four trillion, six hundred eighty-four billion, eight hundred one million, six hundred sixty-two thousand, eight hundred sixteen".