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642541644 = 223240194441
BaseRepresentation
bin100110010011000…
…110100001001100
31122210001111102200
4212103012201030
52303442313034
6143431521500
721631341153
oct4623064114
91583044380
10642541644
112aa775058
1215b229290
13a3172274
146149c59a
153b622a99
hex264c684c

642541644 has 36 divisors (see below), whose sum is σ = 1624972440. Its totient is φ = 214079040.

The previous prime is 642541643. The next prime is 642541649. The reversal of 642541644 is 446145246.

642541644 is a `hidden beast` number, since 6 + 4 + 2 + 5 + 4 + 1 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 642541599 and 642541608.

It is not an unprimeable number, because it can be changed into a prime (642541643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142464 + ... + 146904.

Almost surely, 2642541644 is an apocalyptic number.

It is an amenable number.

642541644 is an abundant number, since it is smaller than the sum of its proper divisors (982430796).

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

642541644 is a wasteful number, since it uses less digits than its factorization.

642541644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470 (or 8465 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 642541644 is about 25348.4051569325. The cubic root of 642541644 is about 862.9131621024.

The spelling of 642541644 in words is "six hundred forty-two million, five hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4019 4441 8038 8882 12057 13323 16076 17764 24114 26646 36171 39969 48228 53292 72342 79938 144684 159876 17848379 35696758 53545137 71393516 107090274 160635411 214180548 321270822 642541644