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1639520049672 = 23321509012
BaseRepresentation
bin10111110110111011000…
…000101001101000001000
312210201212222020000101200
4113312323000221220020
5203330214113042142
63253103552344200
7226310556324531
oct27667300515010
95721788200350
101639520049672
1158235336476a
122258bbb45060
13bb7b572340b
14594d3241688
152c9aadb364c
hex17dbb029a08

1639520049672 has 36 divisors (see below), whose sum is σ = 4440396227085. Its totient is φ = 546503061600.

The previous prime is 1639520049667. The next prime is 1639520049677. The reversal of 1639520049672 is 2769400259361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1639520049672 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 520 + 0 + 49 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1639520049667) and next prime (1639520049677).

It can be written as a sum of positive squares in 2 ways, for example, as 1548396967716 + 91123081956 = 1244346^2 + 301866^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=905406.

It is not an unprimeable number, because it can be changed into a prime (1639520049677) 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 8 ways as a sum of consecutive naturals, for example, 10789422 + ... + 10940322.

Almost surely, 21639520049672 is an apocalyptic number.

1639520049672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1639520049672 is an abundant number, since it is smaller than the sum of its proper divisors (2800876177413).

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

1639520049672 is an frugal number, since it uses more digits than its factorization.

1639520049672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301814 (or 150906 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1639520049672 in words is "one trillion, six hundred thirty-nine billion, five hundred twenty million, forty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 150901 301802 452703 603604 905406 1207208 1358109 1810812 2716218 3621624 5432436 10864872 22771111801 45542223602 68313335403 91084447204 136626670806 182168894408 204940006209 273253341612 409880012418 546506683224 819760024836 1639520049672