Search a number
-
+
71385600000 = 21235511132
BaseRepresentation
bin100001001111011101…
…0011101000000000000
320211020222121012202010
41002132322131000000
52132144203200000
652443305052520
75105000405541
oct1023672350000
9224228535663
1071385600000
1128302345940
1211a02a87140
136968523900
143652a5a4c8
151ccc0add50
hex109ee9d000

71385600000 has 936 divisors, whose sum is σ = 281035700064. Its totient is φ = 15974400000.

The previous prime is 71385599947. The next prime is 71385600007. The reversal of 71385600000 is 658317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71385600007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5491199994 + ... + 5491200006.

Almost surely, 271385600000 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 71385600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140517850032).

71385600000 is an abundant number, since it is smaller than the sum of its proper divisors (209650100064).

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

71385600000 is an equidigital number, since it uses as much as digits as its factorization.

71385600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 71385600000 in words is "seventy-one billion, three hundred eighty-five million, six hundred thousand".