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484337675640 = 233572132941732
BaseRepresentation
bin1110000110001001100…
…01100110110101111000
31201022011022210012100010
413003010301212311320
530413410421110030
61010300205141520
746664224213200
oct7030461466570
91638138705303
10484337675640
11177451a9a385
1279a4b85a8a0
1336899324220
1419629071400
15c8eaade6b0
hex70c4c66d78

484337675640 has 1152 divisors, whose sum is σ = 1955739038400. Its totient is φ = 94941020160.

The previous prime is 484337675581. The next prime is 484337675677. The reversal of 484337675640 is 46576733484.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 6634762644 + ... + 6634762716.

Almost surely, 2484337675640 is an apocalyptic number.

484337675640 is a gapful number since it is divisible by the number (40) 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 484337675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977869519200).

484337675640 is an abundant number, since it is smaller than the sum of its proper divisors (1471401362760).

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

484337675640 is a wasteful number, since it uses less digits than its factorization.

484337675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 57.

The spelling of 484337675640 in words is "four hundred eighty-four billion, three hundred thirty-seven million, six hundred seventy-five thousand, six hundred forty".