Search a number
-
+
83416759152 = 2436737369539
BaseRepresentation
bin100110110110000000…
…1101011101101110000
321222022110100102102020
41031230001223231300
52331314142243102
6102153210351440
76012100516356
oct1155401535560
9258273312366
1083416759152
1132416649881
121420012b580
137b34c77bac
1440748697d6
152283436bbc
hex136c06bb70

83416759152 has 80 divisors (see below), whose sum is σ = 219299118720. Its totient is φ = 27316751616.

The previous prime is 83416759123. The next prime is 83416759177. The reversal of 83416759152 is 25195761438.

It is a junction number, because it is equal to n+sod(n) for n = 83416759095 and 83416759104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164799 + ... + 1234337.

It is an arithmetic number, because the mean of its divisors is an integer number (2741238984).

Almost surely, 283416759152 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 83416759152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109649559360).

83416759152 is an abundant number, since it is smaller than the sum of its proper divisors (135882359568).

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

83416759152 is a wasteful number, since it uses less digits than its factorization.

83416759152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69990 (or 69984 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 83416759152 in words is "eighty-three billion, four hundred sixteen million, seven hundred fifty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 373 402 536 746 804 1072 1119 1492 1608 2238 2984 3216 4476 5968 8952 17904 24991 49982 69539 74973 99964 139078 149946 199928 208617 278156 299892 399856 417234 556312 599784 834468 1112624 1199568 1668936 3337872 4659113 9318226 13977339 18636452 25938047 27954678 37272904 51876094 55909356 74545808 77814141 103752188 111818712 155628282 207504376 223637424 311256564 415008752 622513128 1245026256 1737849149 3475698298 5213547447 6951396596 10427094894 13902793192 20854189788 27805586384 41708379576 83416759152