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71002220016 = 24371323816827
BaseRepresentation
bin100001000100000001…
…1111110010111110000
320210021021012111021110
41002020003332113300
52130403032020031
652341251553320
75062333624620
oct1021003762760
9223237174243
1071002220016
11281259a1882
12119165bb840
136906c81150
143617b80880
151ca85cec46
hex10880fe5f0

71002220016 has 160 divisors (see below), whose sum is σ = 225878542848. Its totient is φ = 18715253760.

The previous prime is 71002219999. The next prime is 71002220021. The reversal of 71002220016 is 61002220017.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 71002219974 and 71002220001.

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, 10396795 + ... + 10403621.

Almost surely, 271002220016 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 71002220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112939271424).

71002220016 is an abundant number, since it is smaller than the sum of its proper divisors (154876322832).

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

71002220016 is a wasteful number, since it uses less digits than its factorization.

71002220016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9239 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Subtracting from 71002220016 its reverse (61002220017), we obtain a palindrome (9999999999).

The spelling of 71002220016 in words is "seventy-one billion, two million, two hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2381 4368 4762 6827 7143 9524 13654 14286 16667 19048 20481 27308 28572 30953 33334 38096 40962 47789 50001 54616 57144 61906 66668 81924 88751 92859 95578 100002 109232 114288 123812 133336 143367 163848 177502 185718 191156 200004 216671 247624 266253 266672 286734 327696 355004 371436 382312 400008 433342 495248 532506 573468 621257 650013 710008 742872 764624 800016 866684 1065012 1146936 1242514 1300026 1420016 1485744 1733368 1863771 2130024 2293872 2485028 2600052 3466736 3727542 4260048 4970056 5200104 7455084 9940112 10400208 14910168 16255087 29820336 32510174 48765261 65020348 97530522 113785609 130040696 195061044 211316131 227571218 260081392 341356827 390122088 422632262 455142436 633948393 682713654 780244176 845264524 910284872 1267896786 1365427308 1479212917 1690529048 1820569744 2535793572 2730854616 2958425834 3381058096 4437638751 5071587144 5461709232 5916851668 8875277502 10143174288 11833703336 17750555004 23667406672 35501110008 71002220016