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680278059120 = 243511231755663
BaseRepresentation
bin10011110011000111011…
…10110110100001110000
32102000220202011222220010
421321203232312201300
542121202140342440
61240303155414520
7100101632044422
oct11714356664160
92360822158803
10680278059120
11242560258600
12aba138b4440
134c1c457a43a
1424cd5d20812
1512a67964580
hex9e63bb6870

680278059120 has 240 divisors, whose sum is σ = 2392782852096. Its totient is φ = 159595814400.

The previous prime is 680278059101. The next prime is 680278059143. The reversal of 680278059120 is 21950872086.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 680278059120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522409 + ... + 1278071.

Almost surely, 2680278059120 is an apocalyptic number.

680278059120 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 680278059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196391426048).

680278059120 is an abundant number, since it is smaller than the sum of its proper divisors (1712504792976).

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

680278059120 is a wasteful number, since it uses less digits than its factorization.

680278059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755732 (or 755715 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 680278059120 in words is "six hundred eighty billion, two hundred seventy-eight million, fifty-nine thousand, one hundred twenty".