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787530230041 = 2927124312
BaseRepresentation
bin10110111010111000111…
…01011010100100011001
32210021202100001210101211
423131130131122210121
5100400330214330131
61401441505543121
7110616506335402
oct13353435324431
92707670053354
10787530230041
11283a98313a95
12108766344aa1
13593576b5679
142a18c1c09a9
15157436ca5b1
hexb75c75a919

787530230041 has 27 divisors (see below), whose sum is σ = 829196188639. Its totient is φ = 747925161200.

The previous prime is 787530230029. The next prime is 787530230051. The reversal of 787530230041 is 140032035787.

It is a happy number.

The square root of 787530230041 is 887429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 412961749641 + 374568480400 = 642621^2 + 612020^2 .

It is not a de Polignac number, because 787530230041 - 233 = 778940295449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 787530229976 and 787530230003.

It is not an unprimeable number, because it can be changed into a prime (787530230021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1827216096 + ... + 1827216526.

Almost surely, 2787530230041 is an apocalyptic number.

787530230041 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

787530230041 is the 887429-th square number.

787530230041 is the 443715-th centered octagonal number.

It is an amenable number.

787530230041 is a deficient number, since it is larger than the sum of its proper divisors (41665958598).

787530230041 is an frugal number, since it uses more digits than its factorization.

787530230041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 787530230041 in words is "seven hundred eighty-seven billion, five hundred thirty million, two hundred thirty thousand, forty-one".

Divisors: 1 29 71 431 841 2059 5041 12499 30601 59711 146189 185761 362471 887429 2172671 4239481 5387069 13189031 25735441 63007459 156225001 382481899 936421201 1827216311 11091975071 27156214829 787530230041