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720842680404 = 2233711217463537
BaseRepresentation
bin10100111110101011001…
…00100110100001010100
32112220121202200021012000
422133111210212201110
543302241211233104
61311052304155300
7103036103454420
oct12372544464124
92486552607160
10720842680404
1125878699aa00
12b7854908b30
1352c8a5bc322
1426c634a5b80
1513b3dccb639
hexa7d5926854

720842680404 has 288 divisors, whose sum is σ = 2485750337280. Its totient is φ = 176217845760.

The previous prime is 720842680399. The next prime is 720842680409. The reversal of 720842680404 is 404086248027.

720842680404 is a `hidden beast` number, since 72 + 0 + 84 + 26 + 80 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (720842680399) and next prime (720842680409).

It is a super-2 number, since 2×7208426804042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 720842680404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720842680409) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1323324 + ... + 1786860.

It is an arithmetic number, because the mean of its divisors is an integer number (8631077560).

Almost surely, 2720842680404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720842680404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242875168640).

720842680404 is an abundant number, since it is smaller than the sum of its proper divisors (1764907656876).

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

720842680404 is a wasteful number, since it uses less digits than its factorization.

720842680404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463596 (or 463577 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 720842680404 in words is "seven hundred twenty billion, eight hundred forty-two million, six hundred eighty thousand, four hundred four".