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685027054212480 = 27355742331283
BaseRepresentation
bin1001101111000001110100101…
…0001110100101010110000000
310022211110221120020010201100000
42123300131022032211112000
51204241440401334244410
610424533030111200000
7264201400000230000
oct23360351216452600
93284427506121300
10685027054212480
111892a8384536931
12649b69ba516000
1323530a0a715545
14c1236b46c0000
15542e1d451adc0
hex26f074a3a5580

685027054212480 has 5760 divisors, whose sum is σ = 3122810993352960. Its totient is φ = 143192355102720.

The previous prime is 685027054212463. The next prime is 685027054212499. The reversal of 685027054212480 is 84212450720586.

685027054212480 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 2 + 7 + 0 + 542 + 12 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 8253338002519 + ... + 8253338002601.

It is an arithmetic number, because the mean of its divisors is an integer number (542154686346).

Almost surely, 2685027054212480 is an apocalyptic number.

685027054212480 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 685027054212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561405496676480).

685027054212480 is an abundant number, since it is smaller than the sum of its proper divisors (2437783939140480).

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

685027054212480 is an frugal number, since it uses more digits than its factorization.

685027054212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 685027054212480 in words is "six hundred eighty-five trillion, twenty-seven billion, fifty-four million, two hundred twelve thousand, four hundred eighty".