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2041864969 = 7326192
BaseRepresentation
bin111100110110100…
…0110001100001001
312021022010111011111
41321231012030021
513140204134334
6534340130321
7101412365044
oct17155061411
95238114144
102041864969
11958641411
1248b9969a1
13267044a31
14155275c5b
15be3d2064
hex79b46309

2041864969 has 9 divisors (see below), whose sum is σ = 2073568743. Its totient is φ = 2010640752.

The previous prime is 2041864901. The next prime is 2041864987. The reversal of 2041864969 is 9694681402.

The square root of 2041864969 is 45187.

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

It can be written as a sum of positive squares in only one way, i.e., 1159062025 + 882802944 = 34045^2 + 29712^2 .

It is not a de Polignac number, because 2041864969 - 29 = 2041864457 is a prime.

It is a super-2 number, since 2×20418649692 = 8338425103258741922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2041864369) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3298342 + ... + 3298960.

It is an arithmetic number, because the mean of its divisors is an integer number (230396527).

Almost surely, 22041864969 is an apocalyptic number.

2041864969 is the 45187-th square number.

2041864969 is the 22594-th centered octagonal number.

It is an amenable number.

2041864969 is a deficient number, since it is larger than the sum of its proper divisors (31703774).

2041864969 is an frugal number, since it uses more digits than its factorization.

2041864969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 2041864969 is about 1268.6515062337.

Multiplying 2041864969 by its sum of digits (49), we get a square (100051383481 = 3163092).

The spelling of 2041864969 in words is "two billion, forty-one million, eight hundred sixty-four thousand, nine hundred sixty-nine".

Divisors: 1 73 619 5329 45187 383161 3298651 27970753 2041864969