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67828356992 = 2711425911311
BaseRepresentation
bin111111001010111000…
…101001011110000000
320111002002000112201002
4333022320221132000
52102403024410432
651054313031132
74620564343634
oct771270513600
9214062015632
1067828356992
1126847380590
121118b6b54a8
13651c5641a6
1433d643adc4
151b6eb45e62
hexfcae29780

67828356992 has 64 divisors (see below), whose sum is σ = 147458707200. Its totient is φ = 30821107200.

The previous prime is 67828356989. The next prime is 67828356997. The reversal of 67828356992 is 29965382876.

67828356992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67828356997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5991017 + ... + 6002327.

It is an arithmetic number, because the mean of its divisors is an integer number (2304042300).

Almost surely, 267828356992 is an apocalyptic number.

It is an amenable number.

67828356992 is an abundant number, since it is smaller than the sum of its proper divisors (79630350208).

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

67828356992 is a wasteful number, since it uses less digits than its factorization.

67828356992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15595 (or 15583 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 65.

The spelling of 67828356992 in words is "sixty-seven billion, eight hundred twenty-eight million, three hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 4259 8518 11311 17036 22622 34072 45244 46849 68144 90488 93698 124421 136288 180976 187396 248842 272576 361952 374792 497684 545152 723904 749584 995368 1447808 1499168 1990736 2998336 3981472 5996672 7962944 15925888 48173549 96347098 192694196 385388392 529909039 770776784 1059818078 1541553568 2119636156 3083107136 4239272312 6166214272 8478544624 16957089248 33914178496 67828356992