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429347320516 = 22139223572
BaseRepresentation
bin1100011111101110001…
…10000011001011000100
31112001012221201201102201
412033313012003023010
524013300403224031
6525123415044244
743006425003142
oct6176706031304
91461187651381
10429347320516
111560a34076a4
126b263670684
133164472195a
1416acda70592
15b27d09ad61
hex63f71832c4

429347320516 has 27 divisors (see below), whose sum is σ = 757123374189. Its totient is φ = 213038821488.

The previous prime is 429347320471. The next prime is 429347320517. The reversal of 429347320516 is 615023743924.

The square root of 429347320516 is 655246.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78058772100 + 351288548416 = 279390^2 + 592696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429347320517) 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 8 ways as a sum of consecutive naturals, for example, 182157210 + ... + 182159566.

Almost surely, 2429347320516 is an apocalyptic number.

429347320516 is the 655246-th square number.

It is an amenable number.

429347320516 is a deficient number, since it is larger than the sum of its proper divisors (327776053673).

429347320516 is an frugal number, since it uses more digits than its factorization.

429347320516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 429347320516 in words is "four hundred twenty-nine billion, three hundred forty-seven million, three hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 4 139 278 556 2357 4714 9428 19321 38642 77284 327623 655246 1310492 5555449 11110898 22221796 45539597 91079194 182158388 772207411 1544414822 3088829644 107336830129 214673660258 429347320516