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54646786768 = 24719233910979
BaseRepresentation
bin110010111001001100…
…111100101011010000
312020001102120101201111
4302321030330223100
51343404034134033
641034314143104
73643125011020
oct627114745320
9166042511644
1054646786768
11211a27607a2
12a711121a94
1351cb68b9b2
142905929a80
15164c7ca7cd
hexcb933cad0

54646786768 has 80 divisors (see below), whose sum is σ = 127438272000. Its totient is φ = 22175911296.

The previous prime is 54646786757. The next prime is 54646786781. The reversal of 54646786768 is 86768764645.

54646786768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4971903 + ... + 4982881.

It is an arithmetic number, because the mean of its divisors is an integer number (1592978400).

Almost surely, 254646786768 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 54646786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63719136000).

54646786768 is an abundant number, since it is smaller than the sum of its proper divisors (72791485232).

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

54646786768 is a wasteful number, since it uses less digits than its factorization.

54646786768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 13346 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 67.

The spelling of 54646786768 in words is "fifty-four billion, six hundred forty-six million, seven hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2339 4678 9356 10979 16373 18712 21958 32746 37424 43916 44441 65492 76853 87832 88882 130984 153706 175664 177764 208601 261968 307412 311087 355528 417202 614824 622174 711056 834404 1229648 1244348 1460207 1668808 2488696 2920414 3337616 4977392 5840828 11681656 23363312 25679881 51359762 102719524 179759167 205439048 359518334 410878096 487917739 719036668 975835478 1438073336 1951670956 2876146672 3415424173 3903341912 6830848346 7806683824 13661696692 27323393384 54646786768