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1683897349120 = 21057400111743
BaseRepresentation
bin11000100000010000000…
…110100111010000000000
312221222102200221101212221
4120200100012213100000
5210042110210132440
63325323300100424
7232441355206360
oct30402006472000
95858380841787
101683897349120
1159a156177658
12232425994714
13c2a3861b29c
145b702cd89a0
152dc06cecd4a
hex188101a7400

1683897349120 has 176 divisors, whose sum is σ = 4617981692928. Its totient is φ = 577142784000.

The previous prime is 1683897349109. The next prime is 1683897349177. The reversal of 1683897349120 is 219437983861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143389969 + ... + 143401711.

Almost surely, 21683897349120 is an apocalyptic number.

1683897349120 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 1683897349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308990846464).

1683897349120 is an abundant number, since it is smaller than the sum of its proper divisors (2934084343808).

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

1683897349120 is a wasteful number, since it uses less digits than its factorization.

1683897349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15776 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 1683897349120 in words is "one trillion, six hundred eighty-three billion, eight hundred ninety-seven million, three hundred forty-nine thousand, one hundred twenty".