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4789696314816 = 2633721731107339
BaseRepresentation
bin100010110110011000000…
…1001011011110111000000
3121221220001011122000001000
41011230300021123313000
51111433244224033231
614104204530412000
71003021065634500
oct105546011336700
917856034560030
104789696314816
111587331780166
12654337731000
1328988819966a
14127b7308da00
15848ce9036e6
hex45b3025bdc0

4789696314816 has 672 divisors, whose sum is σ = 17902869350400. Its totient is φ = 1246426030080.

The previous prime is 4789696314751. The next prime is 4789696314829. The reversal of 4789696314816 is 6184136969874.

It is a happy number.

4789696314816 is a `hidden beast` number, since 4 + 7 + 89 + 6 + 9 + 63 + 1 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×47896963148162 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44568475 + ... + 44675813.

Almost surely, 24789696314816 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 4789696314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951434675200).

4789696314816 is an abundant number, since it is smaller than the sum of its proper divisors (13113173035584).

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

4789696314816 is a wasteful number, since it uses less digits than its factorization.

4789696314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107422 (or 107399 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 4789696314816 in words is "four trillion, seven hundred eighty-nine billion, six hundred ninety-six million, three hundred fourteen thousand, eight hundred sixteen".