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2041906944 = 28371124373
BaseRepresentation
bin111100110110101…
…0000011100000000
312021022012121202010
41321231100130000
513140212010234
6534341052520
7101412631320
oct17155203400
95238177663
102041906944
1195866aa00
1248b9b7140
1326705ab7c
14155287280
15be3de6e9
hex79b50700

2041906944 has 432 divisors, whose sum is σ = 7081200896. Its totient is φ = 510935040.

The previous prime is 2041906931. The next prime is 2041906957. The reversal of 2041906944 is 4496091402.

It is an interprime number because it is at equal distance from previous prime (2041906931) and next prime (2041906957).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27971292 + ... + 27971364.

Almost surely, 22041906944 is an apocalyptic number.

2041906944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540600448).

2041906944 is an abundant number, since it is smaller than the sum of its proper divisors (5039293952).

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

2041906944 is a wasteful number, since it uses less digits than its factorization.

2041906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2041906944 is about 45187.4644564176. The cubic root of 2041906944 is about 1268.6601994762.

The spelling of 2041906944 in words is "two billion, forty-one million, nine hundred six thousand, nine hundred forty-four".