Search a number
-
+
52630153056 = 2535132291381
BaseRepresentation
bin110001000001000000…
…000110011101100000
312000211212220210100000
4301001000012131200
51330241304344211
640102234500000
73542136630315
oct610100063540
9160755823300
1052630153056
1120358392a68
12a249894600
134c6993c500
142793b80d0c
15158072e656
hexc41006760

52630153056 has 432 divisors, whose sum is σ = 173989211760. Its totient is φ = 15624161280.

The previous prime is 52630153049. The next prime is 52630153061. The reversal of 52630153056 is 65035103625.

52630153056 is a `hidden beast` number, since 5 + 2 + 630 + 15 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×526301530562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52630153056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38109486 + ... + 38110866.

It is an arithmetic number, because the mean of its divisors is an integer number (402752805).

Almost surely, 252630153056 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 52630153056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86994605880).

52630153056 is an abundant number, since it is smaller than the sum of its proper divisors (121359058704).

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

52630153056 is a wasteful number, since it uses less digits than its factorization.

52630153056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 52630153056 in words is "fifty-two billion, six hundred thirty million, one hundred fifty-three thousand, fifty-six".