Search a number
-
+
71230652416 = 215721137109
BaseRepresentation
bin100001001010110101…
…1011000000000000000
320210212012001001121201
41002111223120000000
52131340021334131
652420052030544
75101106361400
oct1022553300000
9223765031551
1071230652416
1128232934490
121197b002454
1369423b1a51
14363a244800
151cbd6a3761
hex1095ad8000

71230652416 has 384 divisors, whose sum is σ = 187372429200. Its totient is φ = 26754416640.

The previous prime is 71230652399. The next prime is 71230652417. The reversal of 71230652416 is 61425603217.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71230652417) 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 23 ways as a sum of consecutive naturals, for example, 653492170 + ... + 653492278.

Almost surely, 271230652416 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 71230652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93686214600).

71230652416 is an abundant number, since it is smaller than the sum of its proper divisors (116141776784).

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

71230652416 is a wasteful number, since it uses less digits than its factorization.

71230652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 71230652416 in words is "seventy-one billion, two hundred thirty million, six hundred fifty-two thousand, four hundred sixteen".