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73144444912 = 24711160936899
BaseRepresentation
bin100010000011110111…
…1111010011111110000
320222210120011210101021
41010013233322133300
52144244434214122
653334015145224
75166405344350
oct1040757723760
9228716153337
1073144444912
1129025150080
1212213b15214
136b88a34446
14377c49cb60
151d816d81c7
hex1107bfa7f0

73144444912 has 80 divisors (see below), whose sum is σ = 176801184000. Its totient is φ = 28479352320.

The previous prime is 73144444903. The next prime is 73144444927. The reversal of 73144444912 is 21944444137.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963839 + ... + 2000737.

It is an arithmetic number, because the mean of its divisors is an integer number (2210014800).

Almost surely, 273144444912 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 73144444912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88400592000).

73144444912 is an abundant number, since it is smaller than the sum of its proper divisors (103656739088).

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

73144444912 is a wasteful number, since it uses less digits than its factorization.

73144444912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38534 (or 38528 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The spelling of 73144444912 in words is "seventy-three billion, one hundred forty-four million, four hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1609 3218 6436 11263 12872 17699 22526 25744 35398 36899 45052 70796 73798 90104 123893 141592 147596 180208 247786 258293 283184 295192 405889 495572 516586 590384 811778 991144 1033172 1623556 1982288 2066344 2841223 3247112 4132688 5682446 6494224 11364892 22729784 45459568 59370491 118740982 237481964 415593437 474963928 653075401 831186874 949927856 1306150802 1662373748 2612301604 3324747496 4571527807 5224603208 6649494992 9143055614 10449206416 18286111228 36572222456 73144444912