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87348824381 = 7213221149991
BaseRepresentation
bin101000101011001100…
…1010100100100111101
322100110111020000212202
41101112121110210331
52412342244340011
6104043312241245
76211404520400
oct1212631244475
9270414200782
1087348824381
1134054152665
1214b18b40225
1383107a1b00
144328b77d37
15241373d23b
hex145665493d

87348824381 has 36 divisors (see below), whose sum is σ = 110550909024. Its totient is φ = 68782240800.

The previous prime is 87348824377. The next prime is 87348824411. The reversal of 87348824381 is 18342884378.

It is not a de Polignac number, because 87348824381 - 22 = 87348824377 is a prime.

It is a super-2 number, since 2×873488243812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87348824351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1722296 + ... + 1772286.

It is an arithmetic number, because the mean of its divisors is an integer number (3070858584).

Almost surely, 287348824381 is an apocalyptic number.

It is an amenable number.

87348824381 is a deficient number, since it is larger than the sum of its proper divisors (23202084643).

87348824381 is a wasteful number, since it uses less digits than its factorization.

87348824381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50242 (or 50222 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 56.

The spelling of 87348824381 in words is "eighty-seven billion, three hundred forty-eight million, eight hundred twenty-four thousand, three hundred eighty-one".

Divisors: 1 7 13 49 91 169 211 637 1183 1477 2743 8281 10339 19201 35659 49991 134407 249613 349937 649883 1747291 2449559 4549181 8448479 10548101 31844267 59139353 73836707 137125313 413975471 516856949 959877191 1782629069 6719140337 12478403483 87348824381