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419663967216 = 24313672538409
BaseRepresentation
bin1100001101101011110…
…10111111001111110000
31111010020002210101220220
412012311322333033300
523333432433422331
6520442503133040
742214443602334
oct6066572771760
91433202711826
10419663967216
11151a84406a7a
1269400744180
13307605102c0
14164519b57c4
15adb2dd9296
hex61b5ebf3f0

419663967216 has 40 divisors (see below), whose sum is σ = 1167526679760. Its totient is φ = 129127374336.

The previous prime is 419663967211. The next prime is 419663967227. The reversal of 419663967216 is 612769366914.

It is a happy number.

It is a super-2 number, since 2×4196639672162 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 419663967216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419663967211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336268581 + ... + 336269828.

It is an arithmetic number, because the mean of its divisors is an integer number (29188166994).

Almost surely, 2419663967216 is an apocalyptic number.

It is an amenable number.

419663967216 is an abundant number, since it is smaller than the sum of its proper divisors (747862712544).

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

419663967216 is a wasteful number, since it uses less digits than its factorization.

419663967216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672538433 (or 672538427 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 60.

The spelling of 419663967216 in words is "four hundred nineteen billion, six hundred sixty-three million, nine hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 672538409 1345076818 2017615227 2690153636 4035230454 5380307272 8070460908 8742999317 10760614544 16140921816 17485998634 26228997951 32281843632 34971997268 52457995902 69943994536 104915991804 139887989072 209831983608 419663967216