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493084135080 = 233251369678153
BaseRepresentation
bin1110010110011100001…
…10101100111010101000
31202010201212210101002100
413023032012230322220
531034314014310310
61014304132133400
750424040665015
oct7131606547250
91663655711070
10493084135080
11180130159859
127b690a67260
13376613c2404
1419c1892870c
15cc5d8d7ec0
hex72ce1acea8

493084135080 has 48 divisors (see below), whose sum is σ = 1602523440180. Its totient is φ = 131489102592.

The previous prime is 493084135073. The next prime is 493084135099. The reversal of 493084135080 is 80531480394.

493084135080 is a `hidden beast` number, since 493 + 0 + 84 + 1 + 3 + 5 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 463507702596 + 29576432484 = 680814^2 + 171978^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684838717 + ... + 684839436.

Almost surely, 2493084135080 is an apocalyptic number.

493084135080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493084135080 is an abundant number, since it is smaller than the sum of its proper divisors (1109439305100).

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

493084135080 is a wasteful number, since it uses less digits than its factorization.

493084135080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369678170 (or 1369678163 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 493084135080 in words is "four hundred ninety-three billion, eighty-four million, one hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1369678153 2739356306 4109034459 5478712612 6848390765 8218068918 10957425224 12327103377 13696781530 16436137836 20545172295 24654206754 27393563060 32872275672 41090344590 49308413508 54787126120 61635516885 82180689180 98616827016 123271033770 164361378360 246542067540 493084135080