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5091559424 = 21172113449
BaseRepresentation
bin1001011110111101…
…10000100000000000
3111010211200000110222
410233132300200000
540411414400144
62201121442212
7240113353400
oct45736604000
914124600428
105091559424
112183063a56
12ba11a0368
13631b08573
143642d6800
151ebee02ee
hex12f7b0800

5091559424 has 144 divisors (see below), whose sum is σ = 11974189500. Its totient is φ = 2157969408.

The previous prime is 5091559411. The next prime is 5091559439. The reversal of 5091559424 is 4249551905.

It can be written as a sum of positive squares in 2 ways, for example, as 4729037824 + 362521600 = 68768^2 + 19040^2 .

It is a super-3 number, since 3×50915594243 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11339552 + ... + 11340000.

Almost surely, 25091559424 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 5091559424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987094750).

5091559424 is an abundant number, since it is smaller than the sum of its proper divisors (6882630076).

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

5091559424 is a wasteful number, since it uses less digits than its factorization.

5091559424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The square root of 5091559424 is about 71355.1639616924. The cubic root of 5091559424 is about 1720.3505036547.

The spelling of 5091559424 in words is "five billion, ninety-one million, five hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 256 392 448 449 452 512 784 791 896 898 904 1024 1568 1582 1792 1796 1808 2048 3136 3143 3164 3584 3592 3616 5537 6272 6286 6328 7168 7184 7232 11074 12544 12572 12656 14336 14368 14464 22001 22148 25088 25144 25312 28736 28928 44002 44296 50176 50288 50624 50737 57472 57856 88004 88592 100352 100576 101248 101474 114944 115712 176008 177184 201152 202496 202948 229888 231424 352016 354368 355159 402304 404992 405896 459776 704032 708736 710318 804608 809984 811792 919552 1408064 1417472 1420636 1609216 1619968 1623584 2486113 2816128 2834944 2841272 3218432 3247168 4972226 5632256 5669888 5682544 6436864 6494336 9944452 11264512 11339776 11365088 12988672 19888904 22529024 22730176 25977344 39777808 45058048 45460352 51954688 79555616 90920704 103909376 159111232 181841408 318222464 363682816 636444928 727365632 1272889856 2545779712 5091559424