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620142753249 = 32149462447989
BaseRepresentation
bin10010000011000110110…
…00110111010111100001
32012021200210222221101100
421001203120313113201
540130023021100444
61152520055225013
762542500300105
oct11014330672741
92167623887340
10620142753249
1121a001465208
12a0230678169
134662ca97706
142202d4c9905
15111e83d5e69
hex90636375e1

620142753249 has 12 divisors (see below), whose sum is σ = 901773580500. Its totient is φ = 410653813344.

The previous prime is 620142753247. The next prime is 620142753337. The reversal of 620142753249 is 942357241026.

620142753249 is a `hidden beast` number, since 62 + 0 + 14 + 2 + 7 + 532 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377026700625 + 243116052624 = 614025^2 + 493068^2 .

It is not a de Polignac number, because 620142753249 - 21 = 620142753247 is a prime.

It is a super-4 number, since 4×6201427532494 (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (620142753247) 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 11 ways as a sum of consecutive naturals, for example, 231222654 + ... + 231225335.

It is an arithmetic number, because the mean of its divisors is an integer number (75147798375).

Almost surely, 2620142753249 is an apocalyptic number.

It is an amenable number.

620142753249 is a deficient number, since it is larger than the sum of its proper divisors (281630827251).

620142753249 is a wasteful number, since it uses less digits than its factorization.

620142753249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462448144 (or 462448141 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 620142753249 in words is "six hundred twenty billion, one hundred forty-two million, seven hundred fifty-three thousand, two hundred forty-nine".

Divisors: 1 3 9 149 447 1341 462447989 1387343967 4162031901 68904750361 206714251083 620142753249