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5143713711648 = 253375987241877
BaseRepresentation
bin100101011011001110100…
…1110101000011000100000
3200012201211020211002211020
41022312131032220120200
51133233311202233043
614534553420045440
71040423010104121
oct112663516503040
920181736732736
105143713711648
111703489326186
126b0a77393880
132b408616ac75
1413ad582c4048
158dbee4b6e83
hex4ad9d3a8620

5143713711648 has 96 divisors (see below), whose sum is σ = 13869547683264. Its totient is φ = 1667945935872.

The previous prime is 5143713711637. The next prime is 5143713711701. The reversal of 5143713711648 is 8461173173415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5143713711648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21144886 + ... + 21386762.

It is an arithmetic number, because the mean of its divisors is an integer number (144474455034).

Almost surely, 25143713711648 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 5143713711648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934773841632).

5143713711648 is an abundant number, since it is smaller than the sum of its proper divisors (8725833971616).

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

5143713711648 is a wasteful number, since it uses less digits than its factorization.

5143713711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247914 (or 247906 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 5143713711648 in words is "five trillion, one hundred forty-three billion, seven hundred thirteen million, seven hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5987 11974 17961 23948 35922 47896 71844 95792 143688 191584 221519 241877 287376 443038 483754 574752 664557 725631 886076 967508 1329114 1451262 1772152 1935016 2658228 2902524 3544304 3870032 5316456 5805048 7088608 7740064 8949449 10632912 11610096 17898898 21265824 23220192 26848347 35797796 53696694 71595592 107393388 143191184 214786776 286382368 429573552 859147104 1448117599 2896235198 4344352797 5792470396 8688705594 11584940792 17377411188 23169881584 34754822376 46339763168 53580351163 69509644752 107160702326 139019289504 160741053489 214321404652 321482106978 428642809304 642964213956 857285618608 1285928427912 1714571237216 2571856855824 5143713711648