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482958483840 = 27325711978137
BaseRepresentation
bin1110000011100101001…
…00011010000110000000
31201011121012120222212100
413001302210122012000
530403044332440330
61005511300230400
746615106243640
oct7016244320600
91634535528770
10482958483840
11176904523148
127972599b400
133670967c9c1
1419537c18520
15c8699aa060
hex707291a180

482958483840 has 192 divisors, whose sum is σ = 1905961318560. Its totient is φ = 110390501376.

The previous prime is 482958483769. The next prime is 482958483851. The reversal of 482958483840 is 48384859284.

482958483840 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 584 + 8 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4829584838403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5948749 + ... + 6029388.

Almost surely, 2482958483840 is an apocalyptic number.

482958483840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482958483840 is an abundant number, since it is smaller than the sum of its proper divisors (1423002834720).

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

482958483840 is a wasteful number, since it uses less digits than its factorization.

482958483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11978169 (or 11978154 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 482958483840 in words is "four hundred eighty-two billion, nine hundred fifty-eight million, four hundred eighty-three thousand, eight hundred forty".