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2344728669696 = 293272137229331
BaseRepresentation
bin100010000111101100101…
…110000010111000000000
322022011011011122201120100
4202013230232002320000
5301404001014412241
64553053052442400
7331254363564300
oct42075456027000
98264134581510
102344728669696
11824437230706
1231a510a79400
1314015100392a
14816b21d1600
1540ed23809b6
hex221ecb82e00

2344728669696 has 720 divisors, whose sum is σ = 7988014560240. Its totient is φ = 660128071680.

The previous prime is 2344728669683. The next prime is 2344728669713. The reversal of 2344728669696 is 6969668274432.

2344728669696 is a `hidden beast` number, since 2 + 3 + 4 + 472 + 8 + 6 + 69 + 6 + 96 = 666.

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

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7083772251 + ... + 7083772581.

It is an arithmetic number, because the mean of its divisors is an integer number (11094464667).

Almost surely, 22344728669696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344728669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994007280120).

2344728669696 is an abundant number, since it is smaller than the sum of its proper divisors (5643285890544).

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

2344728669696 is a wasteful number, since it uses less digits than its factorization.

2344728669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 709 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 2344728669696 in words is "two trillion, three hundred forty-four billion, seven hundred twenty-eight million, six hundred sixty-nine thousand, six hundred ninety-six".