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968002144642 = 213172975518969
BaseRepresentation
bin11100001011000010110…
…11001000100110000010
310102112120201210221210001
432011201123020212002
5111324432022112032
62020405525230214
7126635665320001
oct16054133104602
93375521727701
10968002144642
11343588a7a635
12137731b6236a
137038902a610
1434bcc940c38
151a2a75503e7
hexe1616c8982

968002144642 has 32 divisors (see below), whose sum is σ = 1712770239600. Its totient is φ = 405989971968.

The previous prime is 968002144631. The next prime is 968002144691. The reversal of 968002144642 is 246441200869.

It is a Cunningham number, because it is equal to 9838712+1.

It can be written as a sum of positive squares in 8 ways, for example, as 507597826681 + 460404317961 = 712459^2 + 678531^2 .

It is a super-2 number, since 2×9680021446422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 968002144592 and 968002144601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37746667 + ... + 37772302.

Almost surely, 2968002144642 is an apocalyptic number.

968002144642 is a deficient number, since it is larger than the sum of its proper divisors (744768094958).

968002144642 is a wasteful number, since it uses less digits than its factorization.

968002144642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75519030.

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 968002144642 in words is "nine hundred sixty-eight billion, two million, one hundred forty-four thousand, six hundred forty-two".

Divisors: 1 2 13 17 26 29 34 58 221 377 442 493 754 986 6409 12818 75518969 151037938 981746597 1283822473 1963493194 2190050101 2567644946 4380100202 16689692149 28470651313 33379384298 37230851717 56941302626 74461703434 484001072321 968002144642