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384701379049 = 132477112
BaseRepresentation
bin1011001100100011111…
…11010011000111101001
31100202222111111220101001
411212101333103013221
522300332023112144
6452421313355001
736536154524401
oct5462177230751
91322874456331
10384701379049
11139172999009
1262683868a61
132a37ac88100
1414896447801
15a018798bd4
hex5991fd31e9

384701379049 has 9 divisors (see below), whose sum is σ = 416578863639. Its totient is φ = 355101522360.

The previous prime is 384701379047. The next prime is 384701379061. The reversal of 384701379049 is 940973107483.

The square root of 384701379049 is 620243.

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., 56908488025 + 327792891024 = 238555^2 + 572532^2 .

It is not a de Polignac number, because 384701379049 - 21 = 384701379047 is a prime.

It is a super-2 number, since 2×3847013790492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384701379043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8039304 + ... + 8087014.

Almost surely, 2384701379049 is an apocalyptic number.

384701379049 is the 620243-rd square number.

384701379049 is the 310122-nd centered octagonal number.

It is an amenable number.

384701379049 is a deficient number, since it is larger than the sum of its proper divisors (31877484590).

384701379049 is an frugal number, since it uses more digits than its factorization.

384701379049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95448 (or 47724 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 384701379049 in words is "three hundred eighty-four billion, seven hundred one million, three hundred seventy-nine thousand, forty-nine".

Divisors: 1 13 169 47711 620243 8063159 2276339521 29592413773 384701379049