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89445081672 = 233215750315731
BaseRepresentation
bin101001101001101010…
…1111010001001001000
322112212120200221021200
41103103111322021020
52431140420103142
6105031314304200
76314350435602
oct1232325721110
9275776627250
1089445081672
1134a2a464801
1215402b88060
138585b7c23b
14448732c172
1524d77b664c
hex14d357a248

89445081672 has 96 divisors (see below), whose sum is σ = 244290271680. Its totient is φ = 29564346240.

The previous prime is 89445081629. The next prime is 89445081679. The reversal of 89445081672 is 27618054498.

It is a happy number.

89445081672 is a `hidden beast` number, since 89 + 44 + 508 + 16 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (89445081679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5678047 + ... + 5693777.

It is an arithmetic number, because the mean of its divisors is an integer number (2544690330).

Almost surely, 289445081672 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 89445081672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145135840).

89445081672 is an abundant number, since it is smaller than the sum of its proper divisors (154845190008).

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

89445081672 is a wasteful number, since it uses less digits than its factorization.

89445081672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 89445081672 in words is "eighty-nine billion, four hundred forty-five million, eighty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 503 628 942 1006 1256 1413 1509 1884 2012 2826 3018 3768 4024 4527 5652 6036 9054 11304 12072 15731 18108 31462 36216 47193 62924 78971 94386 125848 141579 157942 188772 236913 283158 315884 377544 473826 566316 631768 710739 947652 1132632 1421478 1895304 2469767 2842956 4939534 5685912 7409301 7912693 9879068 14818602 15825386 19758136 22227903 23738079 29637204 31650772 44455806 47476158 59274408 63301544 71214237 88911612 94952316 142428474 177823224 189904632 284856948 569713896 1242292801 2484585602 3726878403 4969171204 7453756806 9938342408 11180635209 14907513612 22361270418 29815027224 44722540836 89445081672