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1681978914 = 23271119232777
BaseRepresentation
bin110010001000000…
…1111011000100010
311100012221101022100
41210100033120202
511421041311124
6434522351230
756452404420
oct14420173042
94305841270
101681978914
11793484720
123ab35b516
1320a609ac5
1411d554110
159c9e41c9
hex6440f622

1681978914 has 192 divisors, whose sum is σ = 4992399360. Its totient is φ = 395746560.

The previous prime is 1681978913. The next prime is 1681978919. The reversal of 1681978914 is 4198791861.

1681978914 = T4124 + T4125 + ... + T4312.

It is not an unprimeable number, because it can be changed into a prime (1681978913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604294 + ... + 607070.

It is an arithmetic number, because the mean of its divisors is an integer number (26002080).

Almost surely, 21681978914 is an apocalyptic number.

1681978914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681978914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496199680).

1681978914 is an abundant number, since it is smaller than the sum of its proper divisors (3310420446).

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

1681978914 is a wasteful number, since it uses less digits than its factorization.

1681978914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2842 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The square root of 1681978914 is about 41011.9362381246. The cubic root of 1681978914 is about 1189.2509736850.

The spelling of 1681978914 in words is "one billion, six hundred eighty-one million, nine hundred seventy-eight thousand, nine hundred fourteen".