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5914449411864 = 2337411174373121
BaseRepresentation
bin101011000010001000010…
…1001111111111100011000
3202221102020011000101101220
41112010100221333330120
51233400243022134424
620325021025012040
71150206366340650
oct126042051777430
922842204011356
105914449411864
11198033855a354
127b6315184020
1333b9652b1306
14166391bcd360
15a3cad555579
hex56110a7ff18

5914449411864 has 128 divisors (see below), whose sum is σ = 17312294522880. Its totient is φ = 1648464076800.

The previous prime is 5914449411853. The next prime is 5914449411877. The reversal of 5914449411864 is 4681149444195.

It is a junction number, because it is equal to n+sod(n) for n = 5914449411798 and 5914449411807.

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, 80849224 + ... + 80922344.

It is an arithmetic number, because the mean of its divisors is an integer number (135252300960).

Almost surely, 25914449411864 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 5914449411864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8656147261440).

5914449411864 is an abundant number, since it is smaller than the sum of its proper divisors (11397845111016).

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

5914449411864 is a wasteful number, since it uses less digits than its factorization.

5914449411864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84921 (or 84917 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 5914449411864 in words is "five trillion, nine hundred fourteen billion, four hundred forty-nine million, four hundred eleven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 11743 23486 35229 46972 70458 73121 82201 93944 140916 146242 164402 219363 246603 281832 292484 328804 438726 481463 493206 511847 584968 657608 877452 962926 986412 1023694 1444389 1535541 1754904 1925852 1972824 2047388 2888778 2997961 3071082 3370241 3851704 4094776 5777556 5995922 6142164 6740482 8993883 10110723 11555112 11991844 12284328 13480964 17987766 20221446 20985727 23983688 26961928 35975532 40442892 41971454 62957181 71951064 80885784 83942908 125914362 167885816 251828724 503657448 858659903 1717319806 2575979709 3434639612 5151959418 6010619321 6869279224 10303918836 12021238642 18031857963 20607837672 24042477284 35205056023 36063715926 48084954568 70410112046 72127431852 105615168069 140820224092 144254863704 211230336138 246435392161 281640448184 422460672276 492870784322 739306176483 844921344552 985741568644 1478612352966 1971483137288 2957224705932 5914449411864