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1898690746680 = 233257134312710613
BaseRepresentation
bin11011101000010010110…
…010011001100100111000
320201111212000121112210200
4123220102302121210320
5222102004312343210
64012125124042200
7254114220026340
oct33502262314470
96644760545720
101898690746680
11672259478352
12267b8b833360
1310a079729c30
1467c7b9bdd20
15345c8d760c0
hex1ba12c99938

1898690746680 has 768 divisors, whose sum is σ = 7833315409920. Its totient is φ = 388168962048.

The previous prime is 1898690746679. The next prime is 1898690746691. The reversal of 1898690746680 is 866470968981.

1898690746680 is a `hidden beast` number, since 1 + 8 + 9 + 86 + 9 + 0 + 7 + 466 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1898690746599 and 1898690746608.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 178897054 + ... + 178907666.

It is an arithmetic number, because the mean of its divisors is an integer number (10199629440).

Almost surely, 21898690746680 is an apocalyptic number.

1898690746680 is a gapful number since it is divisible by the number (10) 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 1898690746680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916657704960).

1898690746680 is an abundant number, since it is smaller than the sum of its proper divisors (5934624663240).

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

1898690746680 is a wasteful number, since it uses less digits than its factorization.

1898690746680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 1898690746680 in words is "one trillion, eight hundred ninety-eight billion, six hundred ninety million, seven hundred forty-six thousand, six hundred eighty".