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87946986568 = 23714928513697
BaseRepresentation
bin101000111101000001…
…1001000010001001000
322102000011202211010211
41101322003020101020
52420103412032233
6104222521050504
76232260023440
oct1217203102110
9272004684124
1087946986568
1134330865781
1215065326a34
1383a76a602c
1443843a3120
15244aee65cd
hex147a0c8448

87946986568 has 64 divisors (see below), whose sum is σ = 189840528000. Its totient is φ = 37415347200.

The previous prime is 87946986553. The next prime is 87946986599. The reversal of 87946986568 is 86568964978.

It is a junction number, because it is equal to n+sod(n) for n = 87946986494 and 87946986503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23786896 + ... + 23790592.

It is an arithmetic number, because the mean of its divisors is an integer number (2966258250).

Almost surely, 287946986568 is an apocalyptic number.

It is an amenable number.

87946986568 is an abundant number, since it is smaller than the sum of its proper divisors (101893541432).

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

87946986568 is a wasteful number, since it uses less digits than its factorization.

87946986568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710 (or 6706 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 76.

The spelling of 87946986568 in words is "eighty-seven billion, nine hundred forty-six million, nine hundred eighty-six thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 149 298 596 1043 1192 2086 2851 3697 4172 5702 7394 8344 11404 14788 19957 22808 25879 29576 39914 51758 79828 103516 159656 207032 424799 550853 849598 1101706 1699196 2203412 2973593 3398392 3855971 4406824 5947186 7711942 10540147 11894372 15423884 21080294 23788744 30847768 42160588 73781029 84321176 147562058 295124116 590248232 1570481903 3140963806 6281927612 10993373321 12563855224 21986746642 43973493284 87946986568