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61328440584 = 23324120775217
BaseRepresentation
bin111001000111011101…
…011011110100001000
312212022002021120122100
4321013131123310020
52001100040044314
644101321153400
74300530100215
oct710735336410
9185262246570
1061328440584
1124011340144
12ba7692b860
135a24a423c8
142d7b098b0c
1518de1aec09
hexe4775bd08

61328440584 has 48 divisors (see below), whose sum is σ = 170149035420. Its totient is φ = 19944207360.

The previous prime is 61328440567. The next prime is 61328440609. The reversal of 61328440584 is 48504482316.

61328440584 is a `hidden beast` number, since 6 + 1 + 3 + 28 + 4 + 40 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50930559684 + 10397880900 = 225678^2 + 101970^2 .

It is a super-2 number, since 2×613284405842 (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 10384657 + ... + 10390560.

Almost surely, 261328440584 is an apocalyptic number.

It is an amenable number.

61328440584 is an abundant number, since it is smaller than the sum of its proper divisors (108820594836).

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

61328440584 is a wasteful number, since it uses less digits than its factorization.

61328440584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20775270 (or 20775263 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 61328440584 in words is "sixty-one billion, three hundred twenty-eight million, four hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 20775217 41550434 62325651 83100868 124651302 166201736 186976953 249302604 373953906 498605208 747907812 851783897 1495815624 1703567794 2555351691 3407135588 5110703382 6814271176 7666055073 10221406764 15332110146 20442813528 30664220292 61328440584