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77481969433290 = 23251873459642697
BaseRepresentation
bin10001100111100000101101…
…010000111011101011001010
3101011100012111200002202202100
4101213200231100323223022
540123431033133331130
6432442420402414230
722214613301342002
oct2147405520735312
9334305450082670
1077481969433290
1122762a11881264
128834636961376
133430697b098c6
14151c20c3b9002
158e573ce32c60
hex46782d43baca

77481969433290 has 48 divisors (see below), whose sum is σ = 201560677356168. Its totient is φ = 20650827045888.

The previous prime is 77481969433289. The next prime is 77481969433291. The reversal of 77481969433290 is 9233496918477.

It is a happy number.

77481969433290 is a `hidden beast` number, since 7 + 7 + 4 + 81 + 96 + 9 + 433 + 29 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (77481969433289) and next prime (77481969433291).

It can be written as a sum of positive squares in 4 ways, for example, as 61201785446649 + 16280183986641 = 7823157^2 + 4034871^2 .

It is a super-2 number, since 2×774819694332902 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77481969433291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229652779 + ... + 229989918.

Almost surely, 277481969433290 is an apocalyptic number.

77481969433290 is an abundant number, since it is smaller than the sum of its proper divisors (124078707922878).

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

77481969433290 is a wasteful number, since it uses less digits than its factorization.

77481969433290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459644583 (or 459644580 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 77481969433290 in words is "seventy-seven trillion, four hundred eighty-one billion, nine hundred sixty-nine million, four hundred thirty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1873 3746 5619 9365 11238 16857 18730 28095 33714 56190 84285 168570 459642697 919285394 1378928091 2298213485 2757856182 4136784273 4596426970 6894640455 8273568546 13789280910 20683921365 41367842730 860910771481 1721821542962 2582732314443 4304553857405 5165464628886 7748196943329 8609107714810 12913661572215 15496393886658 25827323144430 38740984716645 77481969433290