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4418080961 = 77382110531
BaseRepresentation
bin1000001110101011…
…01001000011000001
3102101220101202201012
410013111221003001
533022012042321
62010222450305
7214325032340
oct40725510301
912356352635
104418080961
111967989688
12a33733995
13555423ab8
142dcaa3b57
151acd0b05b
hex1075690c1

4418080961 has 16 divisors (see below), whose sum is σ = 5125123968. Its totient is φ = 3730147200.

The previous prime is 4418080957. The next prime is 4418080973. The reversal of 4418080961 is 1690808144.

4418080961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4418080961 - 22 = 4418080957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4418080991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 414266 + ... + 424796.

It is an arithmetic number, because the mean of its divisors is an integer number (320320248).

Almost surely, 24418080961 is an apocalyptic number.

It is an amenable number.

4418080961 is a deficient number, since it is larger than the sum of its proper divisors (707043007).

4418080961 is a wasteful number, since it uses less digits than its factorization.

4418080961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432.

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 4418080961 is about 66468.6464507891. The cubic root of 4418080961 is about 1640.8840366878.

The spelling of 4418080961 in words is "four billion, four hundred eighteen million, eighty thousand, nine hundred sixty-one".

Divisors: 1 7 73 511 821 5747 10531 59933 73717 419531 768763 5381341 8645951 60521657 631154423 4418080961