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813743209152 = 2633470916209
BaseRepresentation
bin10111101011101101101…
…11111111101011000000
32212210102011102002202000
423311312313333223000
5101313021230143102
61421454541024000
7112535213103126
oct13656667775300
92783364362660
10813743209152
11294119911195
12111860b55000
135b974308bb3
142b5576b5916
1516279aee01c
hexbd76dffac0

813743209152 has 56 divisors (see below), whose sum is σ = 2392254346800. Its totient is φ = 271247735808.

The previous prime is 813743209151. The next prime is 813743209189. The reversal of 813743209152 is 251902347318.

It is a happy number.

813743209152 is a `hidden beast` number, since 81 + 3 + 7 + 432 + 0 + 91 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 813743209098 and 813743209107.

It is not an unprimeable number, because it can be changed into a prime (813743209151) 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, 235456377 + ... + 235459832.

Almost surely, 2813743209152 is an apocalyptic number.

It is an amenable number.

813743209152 is an abundant number, since it is smaller than the sum of its proper divisors (1578511137648).

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

813743209152 is a wasteful number, since it uses less digits than its factorization.

813743209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470916230 (or 470916214 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 813743209152 in words is "eight hundred thirteen billion, seven hundred forty-three million, two hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 470916209 941832418 1412748627 1883664836 2825497254 3767329672 4238245881 5650994508 7534659344 8476491762 11301989016 12714737643 15069318688 16952983524 22603978032 25429475286 30138637376 33905967048 45207956064 50858950572 67811934096 90415912128 101717901144 135623868192 203435802288 271247736384 406871604576 813743209152