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5265499104 = 2532107241709
BaseRepresentation
bin1001110011101100…
…10010001111100000
3111120221222001212100
410321312102033200
541240431432404
62230253530400
7244325001225
oct47166221740
914527861770
105265499104
112262267458
12102b4a3a00
1365bb69b58
1437d45394c
1520c3ecd39
hex139d923e0

5265499104 has 144 divisors (see below), whose sum is σ = 15197822640. Its totient is φ = 1729105920.

The previous prime is 5265499061. The next prime is 5265499117. The reversal of 5265499104 is 4019945625.

5265499104 is a `hidden beast` number, since 52 + 6 + 5 + 499 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5265499104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7426302 + ... + 7427010.

It is an arithmetic number, because the mean of its divisors is an integer number (105540435).

Almost surely, 25265499104 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 5265499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598911320).

5265499104 is an abundant number, since it is smaller than the sum of its proper divisors (9932323536).

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

5265499104 is a wasteful number, since it uses less digits than its factorization.

5265499104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5265499104 is about 72563.7588883046. The cubic root of 5265499104 is about 1739.7219690524.

The spelling of 5265499104 in words is "five billion, two hundred sixty-five million, four hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 241 288 321 428 482 642 709 723 856 963 964 1284 1418 1446 1712 1926 1928 2127 2169 2568 2836 2892 3424 3852 3856 4254 4338 5136 5672 5784 6381 7704 7712 8508 8676 10272 11344 11568 12762 15408 17016 17352 22688 23136 25524 25787 30816 34032 34704 51048 51574 68064 69408 75863 77361 102096 103148 151726 154722 170869 204192 206296 227589 232083 303452 309444 341738 412592 455178 464166 512607 606904 618888 682767 683476 825184 910356 928332 1025214 1213808 1237776 1365534 1366952 1537821 1820712 1856664 2050428 2427616 2475552 2731068 2733904 3075642 3641424 3713328 4100856 5462136 5467808 6151284 7282848 7426656 8201712 10924272 12302568 16403424 18282983 21848544 24605136 36565966 49210272 54848949 73131932 109697898 146263864 164546847 219395796 292527728 329093694 438791592 585055456 658187388 877583184 1316374776 1755166368 2632749552 5265499104