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71225725000 = 235514919121
BaseRepresentation
bin100001001010101100…
…0100101000001001000
320210211211202201110211
41002111120211001020
52131332241200000
652415354250504
75101016446633
oct1022530450110
9223754681424
1071225725000
1128230079441
1211979426a34
136941378011
143639720c1a
151cbd02d7ba
hex1095625048

71225725000 has 96 divisors (see below), whose sum is σ = 168053697000. Its totient is φ = 28297600000.

The previous prime is 71225724991. The next prime is 71225725001. The reversal of 71225725000 is 52752217.

It can be written as a sum of positive squares in 12 ways, for example, as 33418033636 + 37807691364 = 182806^2 + 194442^2 .

It is not an unprimeable number, because it can be changed into a prime (71225725001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3715440 + ... + 3734560.

Almost surely, 271225725000 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 71225725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84026848500).

71225725000 is an abundant number, since it is smaller than the sum of its proper divisors (96827972000).

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

71225725000 is a wasteful number, since it uses less digits than its factorization.

71225725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19301 (or 19277 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The spelling of 71225725000 in words is "seventy-one billion, two hundred twenty-five million, seven hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 625 745 1000 1192 1250 1490 2500 2980 3125 3725 5000 5960 6250 7450 12500 14900 18625 19121 25000 29800 37250 38242 74500 76484 93125 95605 149000 152968 186250 191210 372500 382420 465625 478025 745000 764840 931250 956050 1862500 1912100 2390125 2849029 3725000 3824200 4780250 5698058 9560500 11396116 11950625 14245145 19121000 22792232 23901250 28490290 47802500 56980580 59753125 71225725 95605000 113961160 119506250 142451450 239012500 284902900 356128625 478025000 569805800 712257250 1424514500 1780643125 2849029000 3561286250 7122572500 8903215625 14245145000 17806431250 35612862500 71225725000