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681387757194144 = 25371121353131227409
BaseRepresentation
bin1001101011101101111111001…
…1001110001100101110100000
310022100121000220100202000110010
42122323133303032030232200
51203302324111320203034
610413105114142004520
7263344432554044160
oct23273376316145640
93270530810660403
10681387757194144
11188124a1a215100
1264509619276740
1323328788a1a190
14c0394b44885a0
1553b96d50333e9
hex26bb7f338cba0

681387757194144 has 2304 divisors, whose sum is σ = 2501247106068480. Its totient is φ = 157975761715200.

The previous prime is 681387757194103. The next prime is 681387757194163. The reversal of 681387757194144 is 441491757783186.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1665984736212 + ... + 1665984736620.

It is an arithmetic number, because the mean of its divisors is an integer number (1085610723120).

Almost surely, 2681387757194144 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 681387757194144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250623553034240).

681387757194144 is an abundant number, since it is smaller than the sum of its proper divisors (1819859348874336).

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

681387757194144 is a wasteful number, since it uses less digits than its factorization.

681387757194144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 75.

The spelling of 681387757194144 in words is "six hundred eighty-one trillion, three hundred eighty-seven billion, seven hundred fifty-seven million, one hundred ninety-four thousand, one hundred forty-four".