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5104211424 = 2531326315551
BaseRepresentation
bin1001100000011110…
…00001010111100000
3111011201110210202120
410300033001113200
540423134231144
62202252544240
7240326036604
oct46017012740
914151423676
105104211424
11218a215654
12ba5482080
13634618260
14365c6b504
151ed18de19
hex1303c15e0

5104211424 has 96 divisors (see below), whose sum is σ = 14485008384. Its totient is φ = 1564454400.

The previous prime is 5104211423. The next prime is 5104211443. The reversal of 5104211424 is 4241124015.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5104211394 and 5104211403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104211423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320449 + ... + 335999.

It is an arithmetic number, because the mean of its divisors is an integer number (150885504).

Almost surely, 25104211424 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 5104211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242504192).

5104211424 is an abundant number, since it is smaller than the sum of its proper divisors (9380796960).

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

5104211424 is a wasteful number, since it uses less digits than its factorization.

5104211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5104211424 is about 71443.7640665720. The cubic root of 5104211424 is about 1721.7742895035.

Adding to 5104211424 its reverse (4241124015), we get a palindrome (9345335439).

The spelling of 5104211424 in words is "five billion, one hundred four million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 263 312 416 526 624 789 1052 1248 1578 2104 3156 3419 4208 6312 6838 8416 10257 12624 13676 15551 20514 25248 27352 31102 41028 46653 54704 62204 82056 93306 109408 124408 164112 186612 202163 248816 328224 373224 404326 497632 606489 746448 808652 1212978 1492896 1617304 2425956 3234608 4089913 4851912 6469216 8179826 9703824 12269739 16359652 19407648 24539478 32719304 49078956 53168869 65438608 98157912 106337738 130877216 159506607 196315824 212675476 319013214 392631648 425350952 638026428 850701904 1276052856 1701403808 2552105712 5104211424