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4240361664 = 26357113541
BaseRepresentation
bin1111110010111110…
…1100100011000000
3101221111222200200000
43330233230203000
532141013033124
61540433400000
7210036323310
oct37457544300
911844880600
104240361664
111886634530
129a4109000
1352766b056
142c3241440
1519c4036c9
hexfcbec8c0

4240361664 has 336 divisors, whose sum is σ = 15718999296. Its totient is φ = 1101081600.

The previous prime is 4240361659. The next prime is 4240361669. The reversal of 4240361664 is 4661630424.

It is an interprime number because it is at equal distance from previous prime (4240361659) and next prime (4240361669).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4240361669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195734 + ... + 1199274.

It is an arithmetic number, because the mean of its divisors is an integer number (46782736).

Almost surely, 24240361664 is an apocalyptic number.

4240361664 is a gapful number since it is divisible by the number (44) 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 4240361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859499648).

4240361664 is an abundant number, since it is smaller than the sum of its proper divisors (11478637632).

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

4240361664 is a wasteful number, since it uses less digits than its factorization.

4240361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4240361664 is about 65118.0594305451. The cubic root of 4240361664 is about 1618.5804849170.

The spelling of 4240361664 in words is "four billion, two hundred forty million, three hundred sixty-one thousand, six hundred sixty-four".