Search a number
-
+
10230964730784 = 25327171915711713
BaseRepresentation
bin1001010011100001010100…
…0001001011101110100000
31100020001220112010020112200
42110320111001023232200
52320111003432341114
633432012412453200
72104106562225330
oct224702501135640
940201815106480
1010230964730784
113294a22962816
1211929b547a200
13592a1167b4b5
142752778250c0
1512b1e6a57409
hex94e1504bba0

10230964730784 has 288 divisors, whose sum is σ = 37059534046080. Its totient is φ = 2606384480256.

The previous prime is 10230964730771. The next prime is 10230964730821. The reversal of 10230964730784 is 48703746903201.

10230964730784 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 96 + 473 + 0 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×102309647307842 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10230964730784.

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, 7204689 + ... + 8507024.

It is an arithmetic number, because the mean of its divisors is an integer number (128678937660).

Almost surely, 210230964730784 is an apocalyptic number.

10230964730784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10230964730784 is an abundant number, since it is smaller than the sum of its proper divisors (26828569315296).

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

10230964730784 is a wasteful number, since it uses less digits than its factorization.

10230964730784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15711772 (or 15711761 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 10230964730784 in words is "ten trillion, two hundred thirty billion, nine hundred sixty-four million, seven hundred thirty thousand, seven hundred eighty-four".