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71475560000 = 265413137453
BaseRepresentation
bin100001010010001000…
…1100111111001000000
320211111020212122122222
41002210101213321000
52132340220410000
652500241150212
75110142143565
oct1024421477100
9224436778588
1071475560000
11283490aa149
1211a2902b368
136981060590
14366099686c
151cd4e2da85
hex10a4467e40

71475560000 has 140 divisors (see below), whose sum is σ = 190871098572. Its totient is φ = 26390784000.

The previous prime is 71475559999. The next prime is 71475560003. The reversal of 71475560000 is 6557417.

It can be written as a sum of positive squares in 10 ways, for example, as 69034409536 + 2441150464 = 262744^2 + 49408^2 .

It is not an unprimeable number, because it can be changed into a prime (71475560003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 451274 + ... + 588726.

Almost surely, 271475560000 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 71475560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95435549286).

71475560000 is an abundant number, since it is smaller than the sum of its proper divisors (119395538572).

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

71475560000 is a wasteful number, since it uses less digits than its factorization.

71475560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137498 (or 137473 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 71475560000 in words is "seventy-one billion, four hundred seventy-five million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 137453 260000 274906 520000 549812 687265 1099624 1374530 1786889 2199248 2749060 3436325 3573778 4398496 5498120 6872650 7147556 8796992 8934445 10996240 13745300 14295112 17181625 17868890 21992480 27490600 28590224 34363250 35737780 43984960 44672225 54981200 57180448 68726500 71475560 85908125 89344450 109962400 114360896 137453000 142951120 171816250 178688900 219924800 223361125 274906000 285902240 343632500 357377800 446722250 549812000 571804480 687265000 714755600 893444500 1099624000 1116805625 1374530000 1429511200 1786889000 2233611250 2749060000 2859022400 3573778000 4467222500 5498120000 7147556000 8934445000 14295112000 17868890000 35737780000 71475560000