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968706510144 = 2637171061217
BaseRepresentation
bin11100001100010110110…
…10000100110101000000
310102121101211012102121020
432012023122010311000
5111332402331311034
62021003450225440
7126662310322512
oct16061332046500
93377354172536
10968706510144
1134390a63088a
121378a9a25280
137046bc37a39
1434c582d3bb2
151a2e92d6249
hexe18b684d40

968706510144 has 56 divisors (see below), whose sum is σ = 2599135109568. Its totient is φ = 318354247680.

The previous prime is 968706510133. The next prime is 968706510217. The reversal of 968706510144 is 441015607869.

It is a super-3 number, since 3×9687065101443 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35516977 + ... + 35544240.

Almost surely, 2968706510144 is an apocalyptic number.

It is an amenable number.

968706510144 is an abundant number, since it is smaller than the sum of its proper divisors (1630428599424).

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

968706510144 is a wasteful number, since it uses less digits than its factorization.

968706510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71061303 (or 71061293 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 968706510144 in words is "nine hundred sixty-eight billion, seven hundred six million, five hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 13632 71061217 142122434 213183651 284244868 426367302 568489736 852734604 1136979472 1705469208 2273958944 3410938416 4547917888 5045346407 6821876832 10090692814 13643753664 15136039221 20181385628 30272078442 40362771256 60544156884 80725542512 121088313768 161451085024 242176627536 322902170048 484353255072 968706510144