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71253422968 = 23713521187861
BaseRepresentation
bin100001001011100001…
…0001111001101111000
320210220202212220221111
41002113002033031320
52131411334013333
652422224050104
75101504050010
oct1022702171570
9223822786844
1071253422968
1128244777322
1211986763934
136947025250
14363d290c40
151cc06a04cd
hex109708f378

71253422968 has 64 divisors (see below), whose sum is σ = 164747459520. Its totient is φ = 28133913600.

The previous prime is 71253422959. The next prime is 71253422969. The reversal of 71253422968 is 86922435217.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71253422969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285358 + ... + 473218.

It is an arithmetic number, because the mean of its divisors is an integer number (2574179055).

Almost surely, 271253422968 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 71253422968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82373729760).

71253422968 is an abundant number, since it is smaller than the sum of its proper divisors (93494036552).

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

71253422968 is a wasteful number, since it uses less digits than its factorization.

71253422968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188408 (or 188404 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 71253422968 in words is "seventy-one billion, two hundred fifty-three million, four hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 521 728 1042 2084 3647 4168 6773 7294 13546 14588 27092 29176 47411 54184 94822 187861 189644 375722 379288 751444 1315027 1502888 2442193 2630054 4884386 5260108 9768772 10520216 17095351 19537544 34190702 68381404 97875581 136762808 195751162 391502324 685129067 783004648 1272382553 1370258134 2544765106 2740516268 5089530212 5481032536 8906677871 10179060424 17813355742 35626711484 71253422968