Search a number
-
+
83047541220 = 22335725359219
BaseRepresentation
bin100110101011000000…
…1001110100111100100
321221100201121012122000
41031112001032213210
52330040132304340
6102052421005300
75666665311300
oct1152601164744
9257321535560
1083047541220
1132247198996
1214118553830
137aa6623547
14403b7d8d00
152260d03d30
hex135604e9e4

83047541220 has 288 divisors, whose sum is σ = 306228988800. Its totient is φ = 18623824128.

The previous prime is 83047541189. The next prime is 83047541263. The reversal of 83047541220 is 2214574038.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1372771 + ... + 1431989.

It is an arithmetic number, because the mean of its divisors is an integer number (1063295100).

Almost surely, 283047541220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83047541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153114494400).

83047541220 is an abundant number, since it is smaller than the sum of its proper divisors (223181447580).

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

83047541220 is a wasteful number, since it uses less digits than its factorization.

83047541220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59304 (or 59289 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 83047541220 in words is "eighty-three billion, forty-seven million, five hundred forty-one thousand, two hundred twenty".