Search a number
-
+
89952456216 = 23373117271977
BaseRepresentation
bin101001111000110010…
…1011000111000011000
322121011221102020022110
41103301211120320120
52433210312044331
6105153521152320
76333051155640
oct1236145307030
9277157366273
1089952456216
113516a8a8807
1215524a8b6a0
138637016b6c
1444d4883520
1525170d9946
hex14f1958e18

89952456216 has 64 divisors (see below), whose sum is σ = 265297582080. Its totient is φ = 24871645440.

The previous prime is 89952456203. The next prime is 89952456221. The reversal of 89952456216 is 61265425998.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8630781 + ... + 8641196.

It is an arithmetic number, because the mean of its divisors is an integer number (4145274720).

Almost surely, 289952456216 is an apocalyptic number.

It is an amenable number.

89952456216 is an abundant number, since it is smaller than the sum of its proper divisors (175345125864).

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

89952456216 is a wasteful number, since it uses less digits than its factorization.

89952456216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272024 (or 17272020 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 89952456216 in words is "eighty-nine billion, nine hundred fifty-two million, four hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 17271977 34543954 51815931 69087908 103631862 120903839 138175816 207263724 241807678 362711517 414527448 483615356 535431287 725423034 967230712 1070862574 1450846068 1606293861 2141725148 2901692136 3212587722 3748019009 4283450296 6425175444 7496038018 11244057027 12850350888 14992076036 22488114054 29984152072 44976228108 89952456216