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71845160912 = 24717149253247
BaseRepresentation
bin100001011101001001…
…1100010011111010000
320212110000100022210122
41002322103202133100
52134114330122122
653001043045412
75122250535350
oct1027223423720
9225400308718
1071845160912
11285187a1848
1211b10970868
136a0c7ba345
143697ac6b60
151d075da142
hex10ba4e27d0

71845160912 has 80 divisors (see below), whose sum is σ = 169574860800. Its totient is φ = 28784953344.

The previous prime is 71845160857. The next prime is 71845160993. The reversal of 71845160912 is 21906154817.

It is a congruent number.

It is an unprimeable number.

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, 157073 + ... + 410319.

It is an arithmetic number, because the mean of its divisors is an integer number (2119685760).

Almost surely, 271845160912 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 71845160912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84787430400).

71845160912 is an abundant number, since it is smaller than the sum of its proper divisors (97729699888).

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

71845160912 is a wasteful number, since it uses less digits than its factorization.

71845160912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253428 (or 253422 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 71845160912 in words is "seventy-one billion, eight hundred forty-five million, one hundred sixty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 149 238 272 298 476 596 952 1043 1192 1904 2086 2384 2533 4172 5066 8344 10132 16688 17731 20264 35462 40528 70924 141848 253247 283696 506494 1012988 1772729 2025976 3545458 4051952 4305199 7090916 8610398 14181832 17220796 28363664 30136393 34441592 37733803 60272786 68883184 75467606 120545572 150935212 241091144 264136621 301870424 482182288 528273242 603740848 641474651 1056546484 1282949302 2113092968 2565898604 4226185936 4490322557 5131797208 8980645114 10263594416 17961290228 35922580456 71845160912