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56381528959 = 71737137151619
BaseRepresentation
bin110100100000100110…
…011101101101111111
312101112022210102122021
4310200212131231333
51410432132411314
641522403501011
74034121042310
oct644046355577
9171468712567
1056381528959
1121a029a3228
12ab16087767
135416bb0872
142a2c096607
1516eec43324
hexd2099db7f

56381528959 has 64 divisors (see below), whose sum is σ = 71164016640. Its totient is φ = 43570483200.

The previous prime is 56381528933. The next prime is 56381528989. The reversal of 56381528959 is 95982518365.

It is not a de Polignac number, because 56381528959 - 27 = 56381528831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56381528897 and 56381528906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56381528989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91084552 + ... + 91085170.

It is an arithmetic number, because the mean of its divisors is an integer number (1111937760).

Almost surely, 256381528959 is an apocalyptic number.

56381528959 is a deficient number, since it is larger than the sum of its proper divisors (14782487681).

56381528959 is a wasteful number, since it uses less digits than its factorization.

56381528959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968.

The product of its digits is 23328000, while the sum is 61.

The spelling of 56381528959 in words is "fifty-six billion, three hundred eighty-one million, five hundred twenty-eight thousand, nine hundred fifty-nine".

Divisors: 1 7 17 37 119 137 151 259 619 629 959 1057 2329 2567 4333 4403 5069 5587 10523 16303 17969 20687 22903 35483 39109 73661 84803 86173 93469 94979 144809 160321 351679 389351 593621 603211 654283 664853 765419 1441651 1588973 2461753 2725457 3137711 3458353 5357933 10091557 11122811 12805253 13012123 21963977 24208471 53341087 58792001 89636771 91084861 217689301 373387609 411544007 473794361 1523825107 3316560527 8054504137 56381528959