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2021196672 = 27331179673
BaseRepresentation
bin111100001111001…
…0000001110000000
312012212020102121000
41320132100032000
513114411243142
6532321132000
7101041613445
oct17036201600
95185212530
102021196672
11947a04a80
12484a8a000
13262989381
141526159cc
15bc69d14c
hex78790380

2021196672 has 256 divisors, whose sum is σ = 6599808000. Its totient is φ = 603832320.

The previous prime is 2021196643. The next prime is 2021196677. The reversal of 2021196672 is 2766911202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021196677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002928 + ... + 3003600.

It is an arithmetic number, because the mean of its divisors is an integer number (25780500).

Almost surely, 22021196672 is an apocalyptic number.

2021196672 is a gapful number since it is divisible by the number (22) 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 2021196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299904000).

2021196672 is an abundant number, since it is smaller than the sum of its proper divisors (4578611328).

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

2021196672 is a wasteful number, since it uses less digits than its factorization.

2021196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2021196672 is about 44957.7209386775. The cubic root of 2021196672 is about 1264.3564395614.

The spelling of 2021196672 in words is "two billion, twenty-one million, one hundred ninety-six thousand, six hundred seventy-two".