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987246385696 = 25433734094703
BaseRepresentation
bin11100101110111000111…
…10000101101000100000
310111101020220020200122201
432113130132011220200
5112133340033320241
62033311300142544
7131216612551024
oct16273436055040
93441226220581
10987246385696
1135076393578a
1213b402997a54
1372134c723bc
1435ad66d6384
151aa31c82931
hexe5dc785a20

987246385696 has 96 divisors (see below), whose sum is σ = 1999475089920. Its totient is φ = 479573305344.

The previous prime is 987246385679. The next prime is 987246385733. The reversal of 987246385696 is 696583642789.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209916081 + ... + 209920783.

It is an arithmetic number, because the mean of its divisors is an integer number (20827865520).

Almost surely, 2987246385696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987246385696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999737544960).

987246385696 is an abundant number, since it is smaller than the sum of its proper divisors (1012228704224).

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

987246385696 is a wasteful number, since it uses less digits than its factorization.

987246385696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5530 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 73.

The spelling of 987246385696 in words is "nine hundred eighty-seven billion, two hundred forty-six million, three hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 86 172 344 373 409 688 746 818 1376 1492 1636 2984 3272 4703 5968 6544 9406 11936 13088 16039 17587 18812 32078 35174 37624 64156 70348 75248 128312 140696 150496 152557 202229 256624 281392 305114 404458 513248 562784 610228 808916 1220456 1617832 1754219 1923527 2440912 3235664 3508438 3847054 4881824 6471328 6559951 7016876 7694108 13119902 14033752 15388216 26239804 28067504 30776432 52479608 56135008 61552864 75431417 82711661 104959216 150862834 165423322 209918432 301725668 330846644 603451336 661693288 717475571 1206902672 1323386576 1434951142 2413805344 2646773152 2869902284 5739804568 11479609136 22959218272 30851449553 61702899106 123405798212 246811596424 493623192848 987246385696