Search a number
-
+
10552704601536 = 2633193189971201
BaseRepresentation
bin1001100110001111111000…
…1101011000110111000000
31101100211101010110010112000
42121203332031120313000
52340343414334222121
634235502350504000
72136256600056246
oct231437615306700
941324333403460
1010552704601536
1133a9416703749
121225227505000
135b7167481046
14286a79d52796
15134777aae526
hex998fe358dc0

10552704601536 has 896 divisors, whose sum is σ = 34468051968000. Its totient is φ = 3153199104000.

The previous prime is 10552704601529. The next prime is 10552704601573. The reversal of 10552704601536 is 63510640725501.

10552704601536 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 7 + 0 + 4 + 601 + 5 + 36 = 666.

10552704601536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105527046015362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10552704601491 and 10552704601500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8786597736 + ... + 8786598936.

It is an arithmetic number, because the mean of its divisors is an integer number (38468808000).

Almost surely, 210552704601536 is an apocalyptic number.

10552704601536 is a gapful number since it is divisible by the number (16) 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 10552704601536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234025984000).

10552704601536 is an abundant number, since it is smaller than the sum of its proper divisors (23915347366464).

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

10552704601536 is a wasteful number, since it uses less digits than its factorization.

10552704601536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10552704601536 in words is "ten trillion, five hundred fifty-two billion, seven hundred four million, six hundred one thousand, five hundred thirty-six".