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145165644252 = 22324032379007
BaseRepresentation
bin1000011100110010001…
…0111111000111011100
3111212200211202210111200
42013030202333013130
54334244401104002
6150404351315500
713326224421426
oct2071442770734
9455624683450
10145165644252
1156623249122
122417381bb90
13108c5b39425
1470516cb816
153b99497b1c
hex21cc8bf1dc

145165644252 has 18 divisors (see below), whose sum is σ = 366946489728. Its totient is φ = 48388548072.

The previous prime is 145165644233. The next prime is 145165644301. The reversal of 145165644252 is 252446561541.

145165644252 is a `hidden beast` number, since 1 + 4 + 5 + 165 + 64 + 425 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1451656442523 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145165644198 and 145165644207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2016189468 + ... + 2016189539.

It is an arithmetic number, because the mean of its divisors is an integer number (20385916096).

Almost surely, 2145165644252 is an apocalyptic number.

145165644252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145165644252 is an abundant number, since it is smaller than the sum of its proper divisors (221780845476).

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

145165644252 is a wasteful number, since it uses less digits than its factorization.

145165644252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032379017 (or 4032379012 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 145165644252 in words is "one hundred forty-five billion, one hundred sixty-five million, six hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4032379007 8064758014 12097137021 16129516028 24194274042 36291411063 48388548084 72582822126 145165644252