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505419469440 = 2735263239307
BaseRepresentation
bin1110101101011010101…
…10010001001010000000
31210022120112220021200220
413112231112101022000
531240044341010230
61024104141143040
751341523414654
oct7265526211200
91708515807626
10505419469440
11185390129066
1281b53b5aa80
1338878b76a22
141a668cb6a64
15d2317e6d10
hex75ad591280

505419469440 has 64 divisors (see below), whose sum is σ = 1611024564960. Its totient is φ = 134778524672.

The previous prime is 505419469439. The next prime is 505419469543. The reversal of 505419469440 is 44964914505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5054194694402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131617734 + ... + 131621573.

Almost surely, 2505419469440 is an apocalyptic number.

It is an amenable number.

505419469440 is an abundant number, since it is smaller than the sum of its proper divisors (1105605095520).

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

505419469440 is a wasteful number, since it uses less digits than its factorization.

505419469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263239329 (or 263239317 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 505419469440 in words is "five hundred five billion, four hundred nineteen million, four hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 263239307 526478614 789717921 1052957228 1316196535 1579435842 2105914456 2632393070 3158871684 3948589605 4211828912 5264786140 6317743368 7897179210 8423657824 10529572280 12635486736 15794358420 16847315648 21059144560 25270973472 31588716840 33694631296 42118289120 50541946944 63177433680 84236578240 101083893888 126354867360 168473156480 252709734720 505419469440