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514055460032 = 2619422742977
BaseRepresentation
bin1110111101100000001…
…01111101010011000000
31211010212102001001200022
413132300011331103000
531410241144210112
61032053120313012
752065526213052
oct7366005752300
91733772031608
10514055460032
111890119a6674
1283764172768
13396240a732a
141ac47c158d2
15d589a6dd72
hex77b017d4c0

514055460032 has 28 divisors (see below), whose sum is σ = 1073767164120. Its totient is φ = 243499954176.

The previous prime is 514055460001. The next prime is 514055460047. The reversal of 514055460032 is 230064550415.

It is a super-2 number, since 2×5140554600322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514055459974 and 514055460001.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 211370273 + ... + 211372704.

It is an arithmetic number, because the mean of its divisors is an integer number (38348827290).

Almost surely, 2514055460032 is an apocalyptic number.

It is an amenable number.

514055460032 is an abundant number, since it is smaller than the sum of its proper divisors (559711704088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514055460032 is a wasteful number, since it uses less digits than its factorization.

514055460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422743008 (or 422742998 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 514055460032 in words is "five hundred fourteen billion, fifty-five million, four hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 422742977 845485954 1690971908 3381943816 6763887632 8032116563 13527775264 16064233126 27055550528 32128466252 64256932504 128513865008 257027730016 514055460032