Search a number
-
+
53919608512 = 2671143534801
BaseRepresentation
bin110010001101110110…
…111110111011000000
312011011202020220200111
4302031312332323000
51340411404433022
640434220201104
73616115052550
oct621566767300
9164152226614
1053919608512
112095a238a30
12a549699194
135113b24ac3
142877119160
151608a3a477
hexc8ddbeec0

53919608512 has 224 divisors, whose sum is σ = 139105257984. Its totient is φ = 20127744000.

The previous prime is 53919608473. The next prime is 53919608531. The reversal of 53919608512 is 21580691935.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11228512 + ... + 11233312.

It is an arithmetic number, because the mean of its divisors is an integer number (621005616).

Almost surely, 253919608512 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 53919608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552628992).

53919608512 is an abundant number, since it is smaller than the sum of its proper divisors (85185649472).

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

53919608512 is a wasteful number, since it uses less digits than its factorization.

53919608512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 49.

The spelling of 53919608512 in words is "fifty-three billion, nine hundred nineteen million, six hundred eight thousand, five hundred twelve".