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88814213145 = 32571012791583
BaseRepresentation
bin101001010110110111…
…1010101100000011001
322111020121121111100200
41102231233111200121
52423342414310040
6104444540452413
76262620233010
oct1225557254031
9274217544320
1088814213145
1134736342959
121526784a109
1384b5266258
14442762ba77
15249c1ec630
hex14adbd5819

88814213145 has 48 divisors (see below), whose sum is σ = 177678738432. Its totient is φ = 40198780800.

The previous prime is 88814213141. The next prime is 88814213153. The reversal of 88814213145 is 54131241888.

88814213145 is a `hidden beast` number, since 8 + 8 + 81 + 421 + 3 + 145 = 666.

It is not a de Polignac number, because 88814213145 - 22 = 88814213141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 88814213145.

It is not an unprimeable number, because it can be changed into a prime (88814213141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1363977 + ... + 1427606.

It is an arithmetic number, because the mean of its divisors is an integer number (3701640384).

Almost surely, 288814213145 is an apocalyptic number.

It is an amenable number.

88814213145 is an abundant number, since it is smaller than the sum of its proper divisors (88864525287).

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

88814213145 is a wasteful number, since it uses less digits than its factorization.

88814213145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791702 (or 2791699 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 88814213145 in words is "eighty-eight billion, eight hundred fourteen million, two hundred thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 303 315 505 707 909 1515 2121 3535 4545 6363 10605 31815 2791583 8374749 13957915 19541081 25124247 41873745 58623243 97705405 125621235 175869729 281949883 293116215 845849649 879348645 1409749415 1973649181 2537548947 4229248245 5920947543 9868245905 12687744735 17762842629 29604737715 88814213145