Search a number
-
+
71422562500 = 225610692
BaseRepresentation
bin100001010000100011…
…1011101000011000100
320211100120011002202121
41002201013131003010
52132233134000000
652451105215324
75105626523122
oct1024107350304
9224316132677
1071422562500
11283211a1363
1211a13331544
136973095a03
14365791c912
151cd0460b1a
hex10a11dd0c4

71422562500 has 63 divisors (see below), whose sum is σ = 156381142827. Its totient is φ = 28542300000.

The previous prime is 71422562489. The next prime is 71422562509. The reversal of 71422562500 is 526522417.

The square root of 71422562500 is 267250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 57453213636 + 13969348864 = 239694^2 + 118192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71422562509) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 66811966 + ... + 66813034.

Almost surely, 271422562500 is an apocalyptic number.

71422562500 is the 267250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71422562500

71422562500 is an abundant number, since it is smaller than the sum of its proper divisors (84958580327).

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

71422562500 is an frugal number, since it uses more digits than its factorization.

71422562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 71422562500 in words is "seventy-one billion, four hundred twenty-two million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1069 1250 2138 2500 3125 4276 5345 6250 10690 12500 15625 21380 26725 31250 53450 62500 106900 133625 267250 534500 668125 1142761 1336250 2285522 2672500 3340625 4571044 5713805 6681250 11427610 13362500 16703125 22855220 28569025 33406250 57138050 66812500 114276100 142845125 285690250 571380500 714225625 1428451250 2856902500 3571128125 7142256250 14284512500 17855640625 35711281250 71422562500