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87397137744 = 24372137271231
BaseRepresentation
bin101000101100101000…
…1100111110101010000
322100120212010121100120
41101121101213311100
52412442131401434
6104052155550240
76212532261600
oct1213121476520
9270525117316
1087397137744
1134079451164
1214b3115b380
13831a7b95b7
144331352c00
152417ad3349
hex1459467d50

87397137744 has 120 divisors (see below), whose sum is σ = 264555353088. Its totient is φ = 24788252160.

The previous prime is 87397137703. The next prime is 87397137797. The reversal of 87397137744 is 44773179378.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186609 + ... + 457839.

Almost surely, 287397137744 is an apocalyptic number.

87397137744 is a gapful number since it is divisible by the number (84) 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 87397137744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132277676544).

87397137744 is an abundant number, since it is smaller than the sum of its proper divisors (177158215344).

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

87397137744 is a wasteful number, since it uses less digits than its factorization.

87397137744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271393 (or 271380 counting only the distinct ones).

The product of its digits is 24893568, while the sum is 60.

The spelling of 87397137744 in words is "eighty-seven billion, three hundred ninety-seven million, one hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 137 147 168 196 274 294 336 392 411 548 588 784 822 959 1096 1176 1644 1918 2192 2352 2877 3288 3836 5754 6576 6713 7672 11508 13426 15344 20139 23016 26852 40278 46032 53704 80556 107408 161112 271231 322224 542462 813693 1084924 1627386 1898617 2169848 3254772 3797234 4339696 5695851 6509544 7594468 11391702 13019088 13290319 15188936 22783404 26580638 30377872 37158647 39870957 45566808 53161276 74317294 79741914 91133616 106322552 111475941 148634588 159483828 212645104 222951882 260110529 297269176 318967656 445903764 520221058 594538352 637935312 780331587 891807528 1040442116 1560663174 1783615056 1820773703 2080884232 3121326348 3641547406 4161768464 5462321109 6242652696 7283094812 10924642218 12485305392 14566189624 21849284436 29132379248 43698568872 87397137744