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823972412952 = 233313222572113
BaseRepresentation
bin10111111110110001001…
…01010011111000011000
32220202211001110111101000
423333120211103320120
5101444443414203302
61430305552225000
7113346542643543
oct13773045237030
92822731414330
10823972412952
11298498a45427
1211383683b160
135c914637100
142bc4805d85a
1516677b8431c
hexbfd8953e18

823972412952 has 96 divisors (see below), whose sum is σ = 2478418117200. Its totient is φ = 253529961984.

The previous prime is 823972412899. The next prime is 823972412959. The reversal of 823972412952 is 259214279328.

823972412952 is a `hidden beast` number, since 8 + 2 + 397 + 241 + 2 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823972412959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11249553 + ... + 11322560.

Almost surely, 2823972412952 is an apocalyptic number.

It is an amenable number.

823972412952 is an abundant number, since it is smaller than the sum of its proper divisors (1654445704248).

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

823972412952 is a wasteful number, since it uses less digits than its factorization.

823972412952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22572154 (or 22572131 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 823972412952 in words is "eight hundred twenty-three billion, nine hundred seventy-two million, four hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 36504 22572113 45144226 67716339 90288452 135432678 180576904 203149017 270865356 293437469 406298034 541730712 586874938 609447051 812596068 880312407 1173749876 1218894102 1625192136 1760624814 2347499752 2437788204 2640937221 3521249628 3814687097 4875576408 5281874442 7042499256 7629374194 7922811663 10563748884 11444061291 15258748388 15845623326 21127497768 22888122582 30517496776 31691246652 34332183873 45776245164 63382493304 68664367746 91552490328 102996551619 137328735492 205993103238 274657470984 411986206476 823972412952