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5004653424 = 2432910135597
BaseRepresentation
bin1001010100100110…
…01111001101110000
3110220210010201212020
410222103033031300
540222142402144
62144335031440
7235006565211
oct45223171560
913823121766
105004653424
112138aa6211
12b7806b580
13619aca9b4
14356953408
151e4575419
hex12a4cf370

5004653424 has 80 divisors (see below), whose sum is σ = 13507305120. Its totient is φ = 1594700800.

The previous prime is 5004653399. The next prime is 5004653431. The reversal of 5004653424 is 4243564005.

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, 122794 + ... + 158390.

It is an arithmetic number, because the mean of its divisors is an integer number (168841314).

Almost surely, 25004653424 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 5004653424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753652560).

5004653424 is an abundant number, since it is smaller than the sum of its proper divisors (8502651696).

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

5004653424 is a wasteful number, since it uses less digits than its factorization.

5004653424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35738 (or 35732 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 5004653424 is about 70743.5751429061. The cubic root of 5004653424 is about 1710.5062650649.

The spelling of 5004653424 in words is "five billion, four million, six hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 1212 1392 1616 2424 2929 4848 5858 8787 11716 17574 23432 35148 35597 46864 70296 71194 106791 140592 142388 213582 284776 427164 569552 854328 1032313 1708656 2064626 3096939 3595297 4129252 6193878 7190594 8258504 10785891 12387756 14381188 16517008 21571782 24775512 28762376 43143564 49551024 57524752 86287128 104263613 172574256 208527226 312790839 417054452 625581678 834108904 1251163356 1668217808 2502326712 5004653424