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1002482893944 = 233571923916223
BaseRepresentation
bin11101001011010001010…
…00110000010001111000
310112211120202102111200000
432211220220300101320
5112411041110101234
62044311223313000
7132266314000620
oct16455050602170
93484522374600
101002482893944
11357172505964
121423555ab760
13736c27b8b5c
14367400c3880
151b124713899
hexe968a30478

1002482893944 has 384 divisors, whose sum is σ = 3401588736000. Its totient is φ = 270196746624.

The previous prime is 1002482893933. The next prime is 1002482893967. The reversal of 1002482893944 is 4493982842001.

It is a happy number.

1002482893944 is a `hidden beast` number, since 1 + 0 + 0 + 248 + 2 + 8 + 9 + 394 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 61785817 + ... + 61802039.

It is an arithmetic number, because the mean of its divisors is an integer number (8858304000).

Almost surely, 21002482893944 is an apocalyptic number.

1002482893944 is a gapful number since it is divisible by the number (14) 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 1002482893944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700794368000).

1002482893944 is an abundant number, since it is smaller than the sum of its proper divisors (2399105842056).

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

1002482893944 is a wasteful number, since it uses less digits than its factorization.

1002482893944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509 (or 16493 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1002482893944 in words is "one trillion, two billion, four hundred eighty-two million, eight hundred ninety-three thousand, nine hundred forty-four".