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64124417461 = 1329224124337
BaseRepresentation
bin111011101110000111…
…001111010110110101
320010111221101220212111
4323232013033112311
52022311322324321
645243000451021
74430030361256
oct735607172665
9203457356774
1064124417461
112521661aa35
1210517179a71
13607c0913b0
143164552b2d
151a048a25e1
hexeee1cf5b5

64124417461 has 24 divisors (see below), whose sum is σ = 71820172424. Its totient is φ = 56911196160.

The previous prime is 64124417459. The next prime is 64124417477. The reversal of 64124417461 is 16471442146.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 131102500 + 63993314961 = 11450^2 + 252969^2 .

It is not a de Polignac number, because 64124417461 - 21 = 64124417459 is a prime.

It is a super-2 number, since 2×641244174612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64124418461) 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, 2622685 + ... + 2647021.

Almost surely, 264124417461 is an apocalyptic number.

It is an amenable number.

64124417461 is a deficient number, since it is larger than the sum of its proper divisors (7695754963).

64124417461 is a wasteful number, since it uses less digits than its factorization.

64124417461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24649 (or 24620 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The spelling of 64124417461 in words is "sixty-four billion, one hundred twenty-four million, four hundred seventeen thousand, four hundred sixty-one".

Divisors: 1 13 29 241 377 841 3133 6989 10933 24337 90857 202681 316381 705773 2634853 5865217 9175049 20467417 76247821 170091293 266076421 2211186809 4932647497 64124417461