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77013213 = 3171924789
BaseRepresentation
bin1001001011100…
…10000011011101
312100220200021020
410211302003131
5124203410323
611350354353
71623413214
oct445620335
9170820236
1077013213
113a521192
122195b9b9
1312c55a64
14a32a07b
156b63ae3
hex49720dd

77013213 has 48 divisors (see below), whose sum is σ = 118506240. Its totient is φ = 44301312.

The previous prime is 77013193. The next prime is 77013221. The reversal of 77013213 is 31231077.

It is not a de Polignac number, because 77013213 - 26 = 77013149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77013263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865273 + ... + 865361.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 277013213 is an apocalyptic number.

It is an amenable number.

77013213 is a deficient number, since it is larger than the sum of its proper divisors (41493027).

77013213 is a wasteful number, since it uses less digits than its factorization.

77013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 77013213 is about 8775.7172356452. The cubic root of 77013213 is about 425.4564194667.

The spelling of 77013213 in words is "seventy-seven million, thirteen thousand, two hundred thirteen".

Divisors: 1 3 17 19 47 51 57 89 141 267 323 361 799 893 969 1083 1513 1691 2397 2679 4183 4539 5073 6137 12549 15181 16967 18411 28747 32129 45543 50901 71111 79477 86241 96387 213333 238431 288439 546193 865317 1351109 1510063 1638579 4053327 4530189 25671071 77013213