Search a number
-
+
52069808448 = 2633724153283
BaseRepresentation
bin110000011111100110…
…100011100101000000
311222101211112100001000
4300133212203211000
51323114332332243
635530500412000
73522224032500
oct603746434500
9158354470030
1052069808448
11200a005a849
12a1120a7000
134baa819658
14273d59ba00
15154b4465d3
hexc1f9a3940

52069808448 has 672 divisors, whose sum is σ = 186509070720. Its totient is φ = 14190059520.

The previous prime is 52069808443. The next prime is 52069808459. The reversal of 52069808448 is 84480896025.

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

It is a super-2 number, since 2×520698084482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52069808394 and 52069808403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52069808443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183992115 + ... + 183992397.

It is an arithmetic number, because the mean of its divisors is an integer number (277543260).

Almost surely, 252069808448 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 52069808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93254535360).

52069808448 is an abundant number, since it is smaller than the sum of its proper divisors (134439262272).

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

52069808448 is a wasteful number, since it uses less digits than its factorization.

52069808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 52069808448 in words is "fifty-two billion, sixty-nine million, eight hundred eight thousand, four hundred forty-eight".