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889252772004 = 223858212
BaseRepresentation
bin11001111000010111001…
…10000111100010100100
310011000022112222100000000
430330023212013202210
5104032142202201004
61520303405021300
7121150340563212
oct14741346074244
93130275870000
10889252772004
11313148009393
12124414b54830
1365b19034abc
143107bd13cb2
15181e8c6cc39
hexcf0b9878a4

889252772004 has 81 divisors (see below), whose sum is σ = 2334570992481. Its totient is φ = 296366668560.

The previous prime is 889252771973. The next prime is 889252772053. The reversal of 889252772004 is 400277252988.

The square root of 889252772004 is 943002.

It is a perfect power (a square), and thus also a powerful number.

889252772004 is a `hidden beast` number, since 8 + 8 + 92 + 527 + 7 + 20 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 773516732004 + 115736040000 = 879498^2 + 340200^2 .

It is a tau number, because it is divible by the number of its divisors (81).

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

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 26 ways as a sum of consecutive naturals, for example, 152763414 + ... + 152769234.

Almost surely, 2889252772004 is an apocalyptic number.

889252772004 is the 943002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889252772004

889252772004 is an abundant number, since it is smaller than the sum of its proper divisors (1445318220477).

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

889252772004 is an frugal number, since it uses more digits than its factorization.

889252772004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 889252772004 in words is "eight hundred eighty-nine billion, two hundred fifty-two million, seven hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 5821 6561 8748 11642 13122 17463 23284 26244 34926 52389 69852 104778 157167 209556 314334 471501 628668 943002 1414503 1886004 2829006 4243509 5658012 8487018 12730527 16974036 25461054 33884041 38191581 50922108 67768082 76383162 101652123 135536164 152766324 203304246 304956369 406608492 609912738 914869107 1219825476 1829738214 2744607321 3659476428 5489214642 8233821963 10978429284 16467643926 24701465889 32935287852 49402931778 74104397667 98805863556 148208795334 222313193001 296417590668 444626386002 889252772004