Search a number
-
+
10053652300560 = 24325112335448071
BaseRepresentation
bin1001001001001100110001…
…0111111100001100010000
31022121010020022111111221100
42102103030113330030100
52304204334442104220
633214330100024400
72055231606360531
oct222231427741420
938533208444840
1010053652300560
113226803697590
12116456b992100
1357c09478a92b
1426a856944688
151267ba27ad90
hex924cc5fc310

10053652300560 has 240 divisors, whose sum is σ = 36991014173568. Its totient is φ = 2426788300800.

The previous prime is 10053652300519. The next prime is 10053652300607. The reversal of 10053652300560 is 6500325635001.

10053652300560 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 65 + 2 + 30 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 878676 + ... + 4569395.

Almost surely, 210053652300560 is an apocalyptic number.

10053652300560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053652300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495507086784).

10053652300560 is an abundant number, since it is smaller than the sum of its proper divisors (26937361873008).

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

10053652300560 is a wasteful number, since it uses less digits than its factorization.

10053652300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448334 (or 5448325 counting only the distinct ones).

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

Adding to 10053652300560 its reverse (6500325635001), we get a palindrome (16553977935561).

The spelling of 10053652300560 in words is "ten trillion, fifty-three billion, six hundred fifty-two million, three hundred thousand, five hundred sixty".