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4019686801 = 13248772
BaseRepresentation
bin1110111110010111…
…1000110110010001
3101101010202020122221
43233211320312101
531213014434201
61502511501041
7201416526334
oct35745706621
911333666587
104019686801
111783010209
12942227781
134c0a25400
142a1bda61b
15187d634a1
hexef978d91

4019686801 has 9 divisors (see below), whose sum is σ = 4353571281. Its totient is φ = 3709719312.

The previous prime is 4019686777. The next prime is 4019686807. The reversal of 4019686801 is 1086869104.

The square root of 4019686801 is 63401.

It is a perfect power (a square), and thus also a powerful number.

4019686801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1365376401 + 2654310400 = 36951^2 + 51520^2 .

It is not a de Polignac number, because 4019686801 - 213 = 4019678609 is a prime.

It is a super-2 number, since 2×40196868012 = 32315763956267227202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4019686807) 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, 821775 + ... + 826651.

Almost surely, 24019686801 is an apocalyptic number.

4019686801 is the 63401-st square number.

4019686801 is the 31701-st centered octagonal number.

It is an amenable number.

4019686801 is a deficient number, since it is larger than the sum of its proper divisors (333884480).

4019686801 is an frugal number, since it uses more digits than its factorization.

4019686801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The cubic root of 4019686801 is about 1590.0010285715.

Multiplying 4019686801 by its product of nonzero digits (82944), we get a square (333408902022144 = 182594882).

The spelling of 4019686801 in words is "four billion, nineteen million, six hundred eighty-six thousand, eight hundred one".

Divisors: 1 13 169 4877 63401 824213 23785129 309206677 4019686801