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5103532512 = 2532133593797
BaseRepresentation
bin1001100000011000…
…11011100111100000
3111011200012022110200
410300030123213200
540423001020022
62202230225200
7240320211351
oct46014334740
914150168420
105103532512
1121898a1571
12ba51b5200
1363443b230
14365b31d28
151ed0a7bac
hex13031b9e0

5103532512 has 144 divisors (see below), whose sum is σ = 15677232480. Its totient is φ = 1565531136.

The previous prime is 5103532501. The next prime is 5103532547. The reversal of 5103532512 is 2152353015.

It is a happy number.

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

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, 1342198 + ... + 1345994.

It is an arithmetic number, because the mean of its divisors is an integer number (108869670).

Almost surely, 25103532512 is an apocalyptic number.

5103532512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103532512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838616240).

5103532512 is an abundant number, since it is smaller than the sum of its proper divisors (10573699968).

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

5103532512 is a wasteful number, since it uses less digits than its factorization.

5103532512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5103532512 is about 71439.0125351688. The cubic root of 5103532512 is about 1721.6979482917.

Adding to 5103532512 its reverse (2152353015), we get a palindrome (7255885527).

The spelling of 5103532512 in words is "five billion, one hundred three million, five hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 359 416 468 624 718 936 1077 1248 1436 1872 2154 2872 3231 3744 3797 4308 4667 5744 6462 7594 8616 9334 11391 11488 12924 14001 15188 17232 18668 22782 25848 28002 30376 34173 34464 37336 42003 45564 49361 51696 56004 60752 68346 74672 84006 91128 98722 103392 112008 121504 136692 148083 149344 168012 182256 197444 224016 273384 296166 336024 364512 394888 444249 448032 546768 592332 672048 789776 888498 1093536 1184664 1344096 1363123 1579552 1776996 2369328 2726246 3553992 4089369 4738656 5452492 7107984 8178738 10904984 12268107 14215968 16357476 17720599 21809968 24536214 32714952 35441198 43619936 49072428 53161797 65429904 70882396 98144856 106323594 130859808 141764792 159485391 196289712 212647188 283529584 318970782 392579424 425294376 567059168 637941564 850588752 1275883128 1701177504 2551766256 5103532512