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557432242234755 = 35372857573514813
BaseRepresentation
bin111111010111110110100111…
…0110010001110010110000011
32201002201000001101201111011020
41332233231032302032112003
51041030432213003003010
65253320500431520523
7225262102420261536
oct17657551662162603
92632630041644136
10557432242234755
111516847605707a8
125262a12a089143
131ac06833b13b24
149b91c161baa1d
15446a15a040470
hex1fafb4ec8e583

557432242234755 has 32 divisors (see below), whose sum is σ = 916000231738944. Its totient is φ = 289261041947136.

The previous prime is 557432242234697. The next prime is 557432242234787.

It is a happy number.

557432242234755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557432242234755 - 210 = 557432242233731 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156837729 + ... + 160352541.

It is an arithmetic number, because the mean of its divisors is an integer number (28625007241842).

Almost surely, 2557432242234755 is an apocalyptic number.

557432242234755 is a deficient number, since it is larger than the sum of its proper divisors (358567989504189).

557432242234755 is a wasteful number, since it uses less digits than its factorization.

557432242234755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800615.

The product of its digits is 282240000, while the sum is 60.

The spelling of 557432242234755 in words is "five hundred fifty-seven trillion, four hundred thirty-two billion, two hundred forty-two million, two hundred thirty-four thousand, seven hundred fifty-five".

Divisors: 1 3 5 15 37 111 185 555 285757 857271 1428785 3514813 4286355 10544439 10573009 17574065 31719027 52722195 52865045 130048081 158595135 390144243 650240405 1950721215 1004382418441 3013147255323 5021912092205 15065736276615 37162149482317 111486448446951 185810747411585 557432242234755