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67997604476356 = 221201234332
BaseRepresentation
bin11110111010111111011010…
…00011110111010111000100
322220202111200222011201011121
433131133231003313113010
532403033043221220411
6400341400202043324
720215444012354012
oct1735375503672704
9286674628151147
1067997604476356
111a73669303aa35
1277624841a9544
132bc31ba093329
1412b115cb9d8b2
157cdb91578571
hex3dd7ed0f75c4

67997604476356 has 27 divisors (see below), whose sum is σ = 119129672266983. Its totient is φ = 33960598214400.

The previous prime is 67997604476353. The next prime is 67997604476357. The reversal of 67997604476356 is 65367440679976.

The square root of 67997604476356 is 8246066.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42845533922500 + 25152070553856 = 6545650^2 + 5015184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67997604476353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19807048816 + ... + 19807052248.

Almost surely, 267997604476356 is an apocalyptic number.

67997604476356 is the 8246066-th square number.

It is an amenable number.

67997604476356 is a deficient number, since it is larger than the sum of its proper divisors (51132067790627).

67997604476356 is an frugal number, since it uses more digits than its factorization.

67997604476356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 8641624320, while the sum is 79.

The spelling of 67997604476356 in words is "sixty-seven trillion, nine hundred ninety-seven billion, six hundred four million, four hundred seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 4 1201 2402 3433 4804 6866 13732 1442401 2884802 4123033 5769604 8246066 11785489 16492132 23570978 47141956 4951762633 9903525266 14154372289 19807050532 28308744578 56617489156 16999401119089 33998802238178 67997604476356