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1994121216 = 21332173743
BaseRepresentation
bin111011011011011…
…1110000000000000
312010222021212001100
41312312332000000
513040443334331
6525512534400
7100262515323
oct16666760000
95128255040
101994121216
119336a186a
124779b1400
1325a1995a9
1414cba87ba
15ba100ae6
hex76dbe000

1994121216 has 336 divisors, whose sum is σ = 6409815984. Its totient is φ = 594542592.

The previous prime is 1994121211. The next prime is 1994121257. The reversal of 1994121216 is 6121214991.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1994121211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46374891 + ... + 46374933.

Almost surely, 21994121216 is an apocalyptic number.

1994121216 is a gapful number since it is divisible by the number (16) 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 1994121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204907992).

1994121216 is an abundant number, since it is smaller than the sum of its proper divisors (4415694768).

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

1994121216 is a wasteful number, since it uses less digits than its factorization.

1994121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1994121216 is about 44655.5843764249. The cubic root of 1994121216 is about 1258.6853711032.

The spelling of 1994121216 in words is "one billion, nine hundred ninety-four million, one hundred twenty-one thousand, two hundred sixteen".