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680361736361472 = 29321196491391081
BaseRepresentation
bin1001101010110010010000111…
…1100111010101011000000000
310022012221221120012112022222200
42122230210033213111120000
51203134021314002031342
610411001511122433200
7263210341034625204
oct23254441747253000
93265857505468880
10680361736361472
11187869879200520
12643827b4b02800
1323282ab4895839
14c001980286b04
15539cb841a094c
hex26ac90f9d5600

680361736361472 has 240 divisors, whose sum is σ = 2142299944184400. Its totient is φ = 206148707942400.

The previous prime is 680361736361431. The next prime is 680361736361507. The reversal of 680361736361472 is 274163637163086.

680361736361472 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 6 + 1 + 7 + 3 + 6 + 3 + 614 + 7 + 2 = 666.

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, 488392972 + ... + 489784052.

It is an arithmetic number, because the mean of its divisors is an integer number (8926249767435).

Almost surely, 2680361736361472 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 680361736361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071149972092200).

680361736361472 is an abundant number, since it is smaller than the sum of its proper divisors (1461938207822928).

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

680361736361472 is a wasteful number, since it uses less digits than its factorization.

680361736361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400765 (or 1400746 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 680361736361472 in words is "six hundred eighty trillion, three hundred sixty-one billion, seven hundred thirty-six million, three hundred sixty-one thousand, four hundred seventy-two".