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812419016508 = 223311219321669
BaseRepresentation
bin10111101001001111111…
…00100110011100111100
32212122222212201010221000
423310213330212130330
5101302313232012013
61421115315010300
7112460333462151
oct13644774463474
92778885633830
10812419016508
112935aa39a700
12111551599990
135b7c2b80358
142b46d898228
15161ed730973
hexbd27f2673c

812419016508 has 216 divisors, whose sum is σ = 2328610124400. Its totient is φ = 244765255680.

The previous prime is 812419016491. The next prime is 812419016569. The reversal of 812419016508 is 805610914218.

It is a happy number.

812419016508 is a `hidden beast` number, since 8 + 1 + 2 + 41 + 90 + 16 + 508 = 666.

It is a super-3 number, since 3×8124190165083 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 486769098 + ... + 486770766.

Almost surely, 2812419016508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812419016508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164305062200).

812419016508 is an abundant number, since it is smaller than the sum of its proper divisors (1516191107892).

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

812419016508 is a wasteful number, since it uses less digits than its factorization.

812419016508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 812419016508 in words is "eight hundred twelve billion, four hundred nineteen million, sixteen thousand, five hundred eight".