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71436716328 = 23317794435003
BaseRepresentation
bin100001010000111110…
…1011100100100101000
320211101112210012011110
41002201331130210220
52132300244410303
652452332430320
75106161032665
oct1024175344450
9224345705143
1071436716328
112832918933a
1211a180183a0
136975cb0163
143659764a6c
151cd1809703
hex10a1f5c928

71436716328 has 128 divisors (see below), whose sum is σ = 191961446400. Its totient is φ = 22073465856.

The previous prime is 71436716327. The next prime is 71436716333. The reversal of 71436716328 is 82361763417.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71436716327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14276275 + ... + 14281277.

It is an arithmetic number, because the mean of its divisors is an integer number (1499698800).

Almost surely, 271436716328 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 71436716328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95980723200).

71436716328 is an abundant number, since it is smaller than the sum of its proper divisors (120524730072).

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

71436716328 is a wasteful number, since it uses less digits than its factorization.

71436716328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5547 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 71436716328 in words is "seventy-one billion, four hundred thirty-six million, seven hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 443 474 632 886 948 1329 1343 1772 1896 2658 2686 3544 4029 5003 5316 5372 7531 8058 10006 10632 10744 15009 15062 16116 20012 22593 30018 30124 32232 34997 40024 45186 60036 60248 69994 85051 90372 104991 120072 139988 170102 180744 209982 255153 279976 340204 395237 419964 510306 594949 680408 790474 839928 1020612 1185711 1189898 1580948 1784847 2041224 2216329 2371422 2379796 3161896 3569694 4432658 4742844 4759592 6648987 6719029 7139388 8865316 9485688 13297974 13438058 14278776 17730632 20157087 26595948 26876116 37677593 40314174 53191896 53752232 75355186 80628348 113032779 150710372 161256696 175089991 226065558 301420744 350179982 452131116 525269973 700359964 904262232 1050539946 1400719928 2101079892 2976529847 4202159784 5953059694 8929589541 11906119388 17859179082 23812238776 35718358164 71436716328