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5124165504 = 27353733449
BaseRepresentation
bin1001100010110110…
…01000111110000000
3111020010000120121120
410301123020332000
540443241244004
62204244352240
7240660455013
oct46133107600
914203016546
105124165504
11219a504427
12bb00a5680
136387b37c3
1436878337a
151eecd13d9
hex1316c8f80

5124165504 has 128 divisors (see below), whose sum is σ = 14061924000. Its totient is φ = 1652391936.

The previous prime is 5124165481. The next prime is 5124165533. The reversal of 5124165504 is 4055614215.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51241655042 = 52514144224767148032, which contains 22 as substring.

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, 1483972 + ... + 1487420.

Almost surely, 25124165504 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 5124165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030962000).

5124165504 is an abundant number, since it is smaller than the sum of its proper divisors (8937758496).

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

5124165504 is a wasteful number, since it uses less digits than its factorization.

5124165504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5124165504 is about 71583.2767062252. The cubic root of 5124165504 is about 1724.0150371120.

Adding to 5124165504 its reverse (4055614215), we get a palindrome (9179779719).

The spelling of 5124165504 in words is "five billion, one hundred twenty-four million, one hundred sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 73 96 106 128 146 159 192 212 219 292 318 384 424 438 584 636 848 876 1168 1272 1696 1752 2336 2544 3392 3449 3504 3869 4672 5088 6784 6898 7008 7738 9344 10176 10347 11607 13796 14016 15476 20352 20694 23214 27592 28032 30952 41388 46428 55184 61904 82776 92856 110368 123808 165552 182797 185712 220736 247616 251777 331104 365594 371424 441472 495232 503554 548391 662208 731188 742848 755331 1007108 1096782 1324416 1462376 1485696 1510662 2014216 2193564 2924752 3021324 4028432 4387128 5849504 6042648 8056864 8774256 11699008 12085296 13344181 16113728 17548512 23398016 24170592 26688362 32227456 35097024 40032543 48341184 53376724 70194048 80065086 96682368 106753448 160130172 213506896 320260344 427013792 640520688 854027584 1281041376 1708055168 2562082752 5124165504