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507248242729 = 23101259384211
BaseRepresentation
bin1110110000110100101…
…10011111000000101001
31210111022000001121000221
413120122112133000221
531302321022231404
61025005430130041
751435040631344
oct7303226370051
91714260047027
10507248242729
11186139455548
12823844b0921
1338aaa9cc5b7
141a79db1d45b
15d2dc135954
hex761a59f029

507248242729 has 16 divisors (see below), whose sum is σ = 534755631744. Its totient is φ = 480199104000.

The previous prime is 507248242703. The next prime is 507248242751. The reversal of 507248242729 is 927242842705.

It is a cyclic number.

It is not a de Polignac number, because 507248242729 - 29 = 507248242217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (507248242799) 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 15 ways as a sum of consecutive naturals, for example, 5981434 + ... + 6065644.

It is an arithmetic number, because the mean of its divisors is an integer number (33422226984).

Almost surely, 2507248242729 is an apocalyptic number.

It is an amenable number.

507248242729 is a deficient number, since it is larger than the sum of its proper divisors (27507389015).

507248242729 is a wasteful number, since it uses less digits than its factorization.

507248242729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86928.

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 507248242729 in words is "five hundred seven billion, two hundred forty-eight million, two hundred forty-two thousand, seven hundred twenty-nine".

Divisors: 1 23 101 2323 2593 59639 84211 261893 1936853 6023539 8505311 195622153 218359123 5022259829 22054271423 507248242729