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427765537640 = 23575328825171
BaseRepresentation
bin1100011100110001101…
…00000001101101101000
31111220010201022211020202
412032120310001231220
524002030434201030
6524302432011332
742622300035230
oct6163064015550
91456121284222
10427765537640
11155461548821
126aaa1990b48
1331451ac695c
14169bd95ccc0
15b1d9299745
hex6398d01b68

427765537640 has 64 divisors (see below), whose sum is σ = 1120722687360. Its totient is φ = 143895248640.

The previous prime is 427765537631. The next prime is 427765537643. The reversal of 427765537640 is 46735567724.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (427765537643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14397746 + ... + 14427425.

It is an arithmetic number, because the mean of its divisors is an integer number (17511291990).

Almost surely, 2427765537640 is an apocalyptic number.

427765537640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427765537640 is an abundant number, since it is smaller than the sum of its proper divisors (692957149720).

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

427765537640 is a wasteful number, since it uses less digits than its factorization.

427765537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28825242 (or 28825238 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 56.

The spelling of 427765537640 in words is "four hundred twenty-seven billion, seven hundred sixty-five million, five hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 28825171 57650342 115300684 144125855 201776197 230601368 288251710 403552394 576503420 807104788 1008880985 1153006840 1527734063 1614209576 2017761970 3055468126 4035523940 6110936252 7638670315 8071047880 10694138441 12221872504 15277340630 21388276882 30554681260 42776553764 53470692205 61109362520 85553107528 106941384410 213882768820 427765537640