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20379581641 = 2321671971171
BaseRepresentation
bin10010111110101101…
…111011110011001001
31221121021210000101001
4102332231323303021
5313214133103031
613210125055001
71321011404626
oct227655736311
957537700331
1020379581641
118708819361
123b490b7461
131bca21a563
14db489334d
157e4249861
hex4beb7bcc9

20379581641 has 24 divisors (see below), whose sum is σ = 21558930624. Its totient is φ = 19261962720.

The previous prime is 20379581627. The next prime is 20379581653. The reversal of 20379581641 is 14618597302.

20379581641 = 992 + 1002 + ... + 39392.

It is not a de Polignac number, because 20379581641 - 25 = 20379581609 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20379581591 and 20379581600.

It is not an unprimeable number, because it can be changed into a prime (20379581671) 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, 17402986 + ... + 17404156.

It is an arithmetic number, because the mean of its divisors is an integer number (898288776).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20379581641 = 40759163282, but 3⋅20379581641 = 61138744923 is not.

Almost surely, 220379581641 is an apocalyptic number.

20379581641 is the 90288-th centered pentagonal number.

It is an amenable number.

20379581641 is a deficient number, since it is larger than the sum of its proper divisors (1179348983).

20379581641 is a wasteful number, since it uses less digits than its factorization.

20379581641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 20379581641 in words is "twenty billion, three hundred seventy-nine million, five hundred eighty-one thousand, six hundred forty-one".

Divisors: 1 23 167 197 529 1171 3841 4531 26933 32899 88343 104213 195557 230687 619459 756677 4497811 5305801 17403571 38524729 103449653 122033423 886068767 20379581641