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23514013501056 = 27341317412291093
BaseRepresentation
bin1010101100010110010000…
…11011000000011010000000
310002020220210000211002220000
411112023020123000122000
511040223144424013211
6122002104430520000
74644555113654511
oct526131033003200
9102226700732800
1023514013501056
117546267680a41
12277920b666000
1310174922b9860
145b4127566a08
152ab9c060b656
hex1562c86c0680

23514013501056 has 1280 divisors, whose sum is σ = 82171372298400. Its totient is φ = 6608340910080.

The previous prime is 23514013501021. The next prime is 23514013501057. The reversal of 23514013501056 is 65010531041532.

23514013501056 is a `hidden beast` number, since 2 + 3 + 5 + 140 + 1 + 3 + 501 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8734294587456 + 14779718913600 = 2955384^2 + 3844440^2 .

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 23514013501056.

It is not an unprimeable number, because it can be changed into a prime (23514013501057) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21513278046 + ... + 21513279138.

Almost surely, 223514013501056 is an apocalyptic number.

23514013501056 is a gapful number since it is divisible by the number (26) 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 23514013501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085686149200).

23514013501056 is an abundant number, since it is smaller than the sum of its proper divisors (58657358797344).

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

23514013501056 is a wasteful number, since it uses less digits than its factorization.

23514013501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 23514013501056 its reverse (65010531041532), we get a palindrome (88524544542588).

The spelling of 23514013501056 in words is "twenty-three trillion, five hundred fourteen billion, thirteen million, five hundred one thousand, fifty-six".