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669113907840 = 273257145111437
BaseRepresentation
bin10011011110010100100…
…10111111101010000000
32100222002200212100102200
421233022102333222000
541430321130022330
61231215305113200
766225160242420
oct11571222775200
92328080770380
10669113907840
112388513a24a4
12a9818a88800
134b13563a971
1424557320480
151261279ca60
hex9bca4bfa80

669113907840 has 384 divisors, whose sum is σ = 2642661141120. Its totient is φ = 152821555200.

The previous prime is 669113907811. The next prime is 669113907841. The reversal of 669113907840 is 48709311966.

669113907840 is a `hidden beast` number, since 66 + 91 + 1 + 390 + 78 + 40 = 666.

669113907840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (669113907841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58498602 + ... + 58510038.

It is an arithmetic number, because the mean of its divisors is an integer number (6881930055).

Almost surely, 2669113907840 is an apocalyptic number.

669113907840 is a gapful number since it is divisible by the number (60) 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 669113907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321330570560).

669113907840 is an abundant number, since it is smaller than the sum of its proper divisors (1973547233280).

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

669113907840 is a wasteful number, since it uses less digits than its factorization.

669113907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12920 (or 12905 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 669113907840 in words is "six hundred sixty-nine billion, one hundred thirteen million, nine hundred seven thousand, eight hundred forty".