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78755475357 = 321317371070149
BaseRepresentation
bin100100101011000110…
…0010010111110011101
321112021121022200010200
41021112030102332131
52242242400202412
6100102455054113
75455430331606
oct1112614227635
9245247280120
1078755475357
113044445a319
121331b071339
1375713514c0
143b51778dad
1520ae0da9dc
hex1256312f9d

78755475357 has 48 divisors (see below), whose sum is σ = 133220833200. Its totient is φ = 44381177856.

The previous prime is 78755475347. The next prime is 78755475413. The reversal of 78755475357 is 75357455787.

78755475357 is a `hidden beast` number, since 7 + 8 + 7 + 55 + 47 + 535 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6376182201 + 72379293156 = 79851^2 + 269034^2 .

It is not a de Polignac number, because 78755475357 - 27 = 78755475229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 78755475294 and 78755475303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78755475347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461482 + ... + 608667.

It is an arithmetic number, because the mean of its divisors is an integer number (2775434025).

Almost surely, 278755475357 is an apocalyptic number.

It is an amenable number.

78755475357 is a deficient number, since it is larger than the sum of its proper divisors (54465357843).

78755475357 is a wasteful number, since it uses less digits than its factorization.

78755475357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070222 (or 1070219 counting only the distinct ones).

The product of its digits is 144060000, while the sum is 63.

The spelling of 78755475357 in words is "seventy-eight billion, seven hundred fifty-five million, four hundred seventy-five thousand, three hundred fifty-seven".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 221 333 481 629 663 1443 1887 1989 4329 5661 8177 24531 73593 1070149 3210447 9631341 13911937 18192533 39595513 41735811 54577599 118786539 125207433 163732797 236502929 356359617 514741669 673123721 709508787 1544225007 2019371163 2128526361 4632675021 6058113489 8750608373 26251825119 78755475357