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419744058965 = 57211214159017
BaseRepresentation
bin1100001101110101011…
…00100000111001010101
31111010102200111111010222
412012322230200321111
523334113434341330
6520454443524125
742216435430100
oct6067254407125
91433380444128
10419744058965
11152015640100
1269423529645
1330773ca337a
141645c4a3737
15adb9e5a0e5
hex61bab20e55

419744058965 has 36 divisors (see below), whose sum is σ = 644037092748. Its totient is φ = 261658615680.

The previous prime is 419744058959. The next prime is 419744058977. The reversal of 419744058965 is 569850447914.

It can be written as a sum of positive squares in 2 ways, for example, as 212094328369 + 207649730596 = 460537^2 + 455686^2 .

It is not a de Polignac number, because 419744058965 - 26 = 419744058901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 419744058898 and 419744058907.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7049864 + ... + 7109153.

It is an arithmetic number, because the mean of its divisors is an integer number (17889919243).

Almost surely, 2419744058965 is an apocalyptic number.

It is an amenable number.

419744058965 is a deficient number, since it is larger than the sum of its proper divisors (224293033783).

419744058965 is a wasteful number, since it uses less digits than its factorization.

419744058965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159058 (or 14159040 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 419744058965 in words is "four hundred nineteen billion, seven hundred forty-four million, fifty-eight thousand, nine hundred sixty-five".

Divisors: 1 5 7 11 35 49 55 77 121 245 385 539 605 847 2695 4235 5929 29645 14159017 70795085 99113119 155749187 495565595 693791833 778745935 1090244309 1713241057 3468959165 5451221545 7631710163 8566205285 11992687399 38158550815 59963436995 83948811793 419744058965