Search a number
-
+
83997480000 = 263547192277
BaseRepresentation
bin100111000111010100…
…0111101010001000000
322000210221002002122210
41032032220331101000
52334011323330000
6102330553302120
76032351541150
oct1161650752100
9260727062583
1083997480000
1132694429a65
1214342704940
137bc83834b5
1440cba34760
1522b93e7350
hex138ea3d440

83997480000 has 840 divisors, whose sum is σ = 336182037312. Its totient is φ = 18123264000.

The previous prime is 83997479987. The next prime is 83997480001. The reversal of 83997480000 is 8479938.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83997480001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 303239862 + ... + 303240138.

Almost surely, 283997480000 is an apocalyptic number.

83997480000 is a gapful number since it is divisible by the number (80) 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 83997480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168091018656).

83997480000 is an abundant number, since it is smaller than the sum of its proper divisors (252184557312).

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

83997480000 is a wasteful number, since it uses less digits than its factorization.

83997480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 83997480000 in words is "eighty-three billion, nine hundred ninety-seven million, four hundred eighty thousand".