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166145736248469 = 3233159394051127
BaseRepresentation
bin100101110001101111010001…
…100101110000110010010101
3210210021101012000201002111100
4211301233101211300302111
5133234112431434422334
61345210144133500313
746665430141362015
oct4561572145606225
9723241160632440
10166145736248469
1148a3701377a18a
12167741a6aa1699
137192625166273
142d056d4719c45
151431c72915c99
hex971bd1970c95

166145736248469 has 24 divisors (see below), whose sum is σ = 241119253058112. Its totient is φ = 110242967852160.

The previous prime is 166145736248449. The next prime is 166145736248509. The reversal of 166145736248469 is 964842637541661.

166145736248469 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 4 + 57 + 36 + 2 + 484 + 69 = 666.

166145736248469 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166145736248469 - 212 = 166145736244373 is a prime.

It is a super-2 number, since 2×1661457362484692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166145736248397 and 166145736248406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166145736248449) 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, 45259017 + ... + 48792110.

It is an arithmetic number, because the mean of its divisors is an integer number (10046635544088).

Almost surely, 2166145736248469 is an apocalyptic number.

It is an amenable number.

166145736248469 is a deficient number, since it is larger than the sum of its proper divisors (74973516809643).

166145736248469 is a wasteful number, since it uses less digits than its factorization.

166145736248469 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94052057 (or 94052054 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 166145736248469 in words is "one hundred sixty-six trillion, one hundred forty-five billion, seven hundred thirty-six million, two hundred forty-eight thousand, four hundred sixty-nine".

Divisors: 1 3 9 331 593 993 1779 2979 5337 196283 588849 1766547 94051127 282153381 846460143 31130923037 55772318311 93392769111 167316954933 280178307333 501950864799 18460637360941 55381912082823 166145736248469