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71213368152 = 233171935925589
BaseRepresentation
bin100001001010010100…
…1011100001101011000
320210210222111221001210
41002110221130031120
52131321110240102
652414233343120
75100506433063
oct1022451341530
9223728457053
1071213368152
11282240a9573
1211975267aa0
13693b93c784
143637c258da
151cbbddc36c
hex1094a5c358

71213368152 has 128 divisors (see below), whose sum is σ = 198987840000. Its totient is φ = 21105801216.

The previous prime is 71213368147. The next prime is 71213368201. The reversal of 71213368152 is 25186331217.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 71213368152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2770174 + ... + 2795762.

It is an arithmetic number, because the mean of its divisors is an integer number (1554592500).

Almost surely, 271213368152 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 71213368152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99493920000).

71213368152 is an abundant number, since it is smaller than the sum of its proper divisors (127774471848).

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

71213368152 is a wasteful number, since it uses less digits than its factorization.

71213368152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25993 (or 25989 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

Adding to 71213368152 its reverse (25186331217), we get a palindrome (96399699369).

The spelling of 71213368152 in words is "seventy-one billion, two hundred thirteen million, three hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 359 408 456 646 718 969 1077 1292 1436 1938 2154 2584 2872 3876 4308 6103 6821 7752 8616 12206 13642 18309 20463 24412 25589 27284 36618 40926 48824 51178 54568 73236 76767 81852 102356 115957 146472 153534 163704 204712 231914 307068 347871 435013 463828 486191 614136 695742 870026 927656 972382 1305039 1391484 1458573 1740052 1944764 2610078 2782968 2917146 3480104 3889528 5220156 5834292 8265247 9186451 10440312 11668584 16530494 18372902 24795741 27559353 33060988 36745804 49591482 55118706 66121976 73491608 99182964 110237412 156169667 174542569 198365928 220474824 312339334 349085138 468509001 523627707 624678668 698170276 937018002 1047255414 1249357336 1396340552 1874036004 2094510828 2967223673 3748072008 4189021656 5934447346 8901671019 11868894692 17803342038 23737789384 35606684076 71213368152