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1981199088 = 243411314483
BaseRepresentation
bin111011000010110…
…1011001011110000
312010001222100020000
41312011223023300
513024141332323
6524331550000
7100044625431
oct16605531360
95101870200
101981199088
11927376220
124735bb300
132575c396b
1414b1a3488
15b8debe43
hex7616b2f0

1981199088 has 200 divisors, whose sum is σ = 6458681856. Its totient is φ = 580867200.

The previous prime is 1981199083. The next prime is 1981199107. The reversal of 1981199088 is 8809911891.

1981199088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981199081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439695 + ... + 444177.

Almost surely, 21981199088 is an apocalyptic number.

1981199088 is a gapful number since it is divisible by the number (18) 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 1981199088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229340928).

1981199088 is an abundant number, since it is smaller than the sum of its proper divisors (4477482768).

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

1981199088 is a wasteful number, since it uses less digits than its factorization.

1981199088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 54.

The square root of 1981199088 is about 44510.6626326771. The cubic root of 1981199088 is about 1255.9606699248.

The spelling of 1981199088 in words is "one billion, nine hundred eighty-one million, one hundred ninety-nine thousand, eighty-eight".