Search a number
-
+
10939475752848 = 243531360725163
BaseRepresentation
bin1001111100110000101110…
…0100001111011110010000
31102201210200212121100200000
42133030023210033132100
52413213021243042343
635133305322530000
72206231256443266
oct237141344173620
942653625540600
1010939475752848
113538450964245
121288188366900
136147851a2466
1429b68b218436
1513e862deded3
hex9f30b90f790

10939475752848 has 240 divisors, whose sum is σ = 32783797702656. Its totient is φ = 3527744607360.

The previous prime is 10939475752837. The next prime is 10939475752859. The reversal of 10939475752848 is 84825757493901.

10939475752848 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 9 + 4 + 7 + 57 + 528 + 48 = 666.

10939475752848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10939475752837) and next prime (10939475752859).

It is a super-2 number, since 2×109394757528482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434731915 + ... + 434757077.

Almost surely, 210939475752848 is an apocalyptic number.

10939475752848 is a gapful number since it is divisible by the number (18) 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 10939475752848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391898851328).

10939475752848 is an abundant number, since it is smaller than the sum of its proper divisors (21844321949808).

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

10939475752848 is a wasteful number, since it uses less digits than its factorization.

10939475752848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28824 (or 28806 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 10939475752848 in words is "ten trillion, nine hundred thirty-nine billion, four hundred seventy-five million, seven hundred fifty-two thousand, eight hundred forty-eight".