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5248434395664 = 2432311409834439
BaseRepresentation
bin100110001011111111100…
…0100010101101000010000
3200120202010102021001010200
41030113333010111220100
51141442243201130124
615055033015455200
71051121045165565
oct114277704255020
920522112231120
105248434395664
111743937432029
12709222087500
132c0c049a1055
1414205029886c
15917ccd82bc9
hex4c5ff115a10

5248434395664 has 120 divisors (see below), whose sum is σ = 15172922918400. Its totient is φ = 1691839733760.

The previous prime is 5248434395621. The next prime is 5248434395681. The reversal of 5248434395664 is 4665934348425.

5248434395664 is a `hidden beast` number, since 5 + 2 + 4 + 8 + 4 + 34 + 39 + 566 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5872557 + ... + 6706995.

It is an arithmetic number, because the mean of its divisors is an integer number (126441024320).

Almost surely, 25248434395664 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 5248434395664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586461459200).

5248434395664 is an abundant number, since it is smaller than the sum of its proper divisors (9924488522736).

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

5248434395664 is a wasteful number, since it uses less digits than its factorization.

5248434395664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835893 (or 835884 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 63.

The spelling of 5248434395664 in words is "five trillion, two hundred forty-eight billion, four hundred thirty-four million, three hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1409 1488 2232 2818 4227 4464 5636 8454 11272 12681 16908 22544 25362 33816 43679 50724 67632 87358 101448 131037 174716 202896 262074 349432 393111 524148 698864 786222 834439 1048296 1572444 1668878 2096592 2503317 3144888 3337756 5006634 6289776 6675512 7509951 10013268 13351024 15019902 20026536 25867609 30039804 40053072 51735218 60079608 77602827 103470436 120159216 155205654 206940872 232808481 310411308 413881744 465616962 620822616 931233924 1175724551 1241645232 1862467848 2351449102 3527173653 3724935696 4702898204 7054347306 9405796408 10581520959 14108694612 18811592816 21163041918 28217389224 36447461081 42326083836 56434778448 72894922162 84652167672 109342383243 145789844324 169304335344 218684766486 291579688648 328027149729 437369532972 583159377296 656054299458 874739065944 1312108598916 1749478131888 2624217197832 5248434395664