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5105315424 = 2531117284387
BaseRepresentation
bin1001100000100110…
…01110111001100000
3111011210112220011110
410300103032321200
540423430043144
62202332343320
7240341315346
oct46023167140
914153486143
105105315424
11218a8aa050
12ba5914b40
13634913901
14366077996
151ed30b0b9
hex1304cee60

5105315424 has 96 divisors (see below), whose sum is σ = 15479807616. Its totient is φ = 1456056320.

The previous prime is 5105315401. The next prime is 5105315429. The reversal of 5105315424 is 4245135015.

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

It is a junction number, because it is equal to n+sod(n) for n = 5105315391 and 5105315400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105315429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124242 + ... + 160145.

It is an arithmetic number, because the mean of its divisors is an integer number (161247996).

Almost surely, 25105315424 is an apocalyptic number.

It is an amenable number.

5105315424 is an abundant number, since it is smaller than the sum of its proper divisors (10374492192).

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

5105315424 is a wasteful number, since it uses less digits than its factorization.

5105315424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284428 (or 284420 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5105315424 is about 71451.4900054575. The cubic root of 5105315424 is about 1721.8984158787.

The spelling of 5105315424 in words is "five billion, one hundred five million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 284387 568774 853161 1137548 1706322 2275096 3128257 3412644 4550192 4834579 6256514 6825288 9100384 9384771 9669158 12513028 13650576 14503737 18769542 19338316 25026056 27301152 29007474 37539084 38676632 50052112 53180369 58014948 75078168 77353264 100104224 106360738 116029896 150156336 154706528 159541107 212721476 232059792 300312672 319082214 425442952 464119584 638164428 850885904 1276328856 1701771808 2552657712 5105315424