Search a number
-
+
73116213576 = 233722912231753
BaseRepresentation
bin100010000011000010…
…0001110000101001000
320222201121001111021020
41010012010032011020
52144220222313301
653331130112440
75165613363300
oct1040604160510
9228647044236
1073116213576
112901021849a
121220657b720
136b82c2b503
143778830600
151d7dead436
hex110610e148

73116213576 has 192 divisors, whose sum is σ = 220271529600. Its totient is φ = 20142001152.

The previous prime is 73116213571. The next prime is 73116213587. The reversal of 73116213576 is 67531261137.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (73116213571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41708316 + ... + 41710068.

It is an arithmetic number, because the mean of its divisors is an integer number (1147247550).

Almost surely, 273116213576 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 73116213576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110135764800).

73116213576 is an abundant number, since it is smaller than the sum of its proper divisors (147155316024).

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

73116213576 is a wasteful number, since it uses less digits than its factorization.

73116213576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3017 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The spelling of 73116213576 in words is "seventy-three billion, one hundred sixteen million, two hundred thirteen thousand, five hundred seventy-six".