Search a number
-
+
71323211616 = 2533735715623
BaseRepresentation
bin100001001101100110…
…0011101011101100000
320211002122012112222020
41002123030131131200
52132032220232431
652433155541440
75103312203316
oct1023314353540
9224078175866
1071323211616
1128280103598
12119a5bba880
13695861b7c7
14364865a0b6
151cc6888696
hex109b31d760

71323211616 has 96 divisors (see below), whose sum is σ = 192371574528. Its totient is φ = 23121262080.

The previous prime is 71323211611. The next prime is 71323211723. The reversal of 71323211616 is 61611232317.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71323211611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12681381 + ... + 12687003.

It is an arithmetic number, because the mean of its divisors is an integer number (2003870568).

Almost surely, 271323211616 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 71323211616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96185787264).

71323211616 is an abundant number, since it is smaller than the sum of its proper divisors (121048362912).

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

71323211616 is a wasteful number, since it uses less digits than its factorization.

71323211616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9236 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The spelling of 71323211616 in words is "seventy-one billion, three hundred twenty-three million, two hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 3571 5623 7142 10713 11246 14284 16869 21426 22492 28568 33738 42852 44984 57136 67476 85704 89968 114272 132127 134952 171408 179936 208051 264254 269904 342816 396381 416102 528508 539808 624153 792762 832204 1057016 1248306 1585524 1664408 2114032 2496612 3171048 3328816 4228064 4993224 6342096 6657632 9986448 12684192 19972896 20079733 40159466 60239199 80318932 120478398 160637864 240956796 321275728 481913592 642551456 742950121 963827184 1485900242 1927654368 2228850363 2971800484 4457700726 5943600968 8915401452 11887201936 17830802904 23774403872 35661605808 71323211616