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5135430125112 = 2337103720741179
BaseRepresentation
bin100101010111010111101…
…1111010000011000111000
3200011221102221210022022220
41022232233133100120320
51133114330103000422
614531103430044040
71040010513555060
oct112565737203070
920157387708286
105135430125112
1116aaa18474aa1
126ab3451a9620
132b3365c55b81
1413a7b00ba3a0
158d8b7150e5c
hex4abaf7d0638

5135430125112 has 128 divisors (see below), whose sum is σ = 14817525964800. Its totient is φ = 1452783558528.

The previous prime is 5135430125087. The next prime is 5135430125129. The reversal of 5135430125112 is 2115210345315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124689339 + ... + 124730517.

It is an arithmetic number, because the mean of its divisors is an integer number (115761921600).

Almost surely, 25135430125112 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 5135430125112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408762982400).

5135430125112 is an abundant number, since it is smaller than the sum of its proper divisors (9682095839688).

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

5135430125112 is a wasteful number, since it uses less digits than its factorization.

5135430125112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48505 (or 48501 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 5135430125112 in words is "five trillion, one hundred thirty-five billion, four hundred thirty million, one hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2884 4326 5768 7207 8652 14414 17304 21621 28828 41179 43242 50449 57656 82358 86484 100898 123537 151347 164716 172968 201796 247074 288253 302694 329432 403592 494148 576506 605388 742321 864759 988296 1153012 1210776 1484642 1729518 2226963 2306024 2969284 3459036 4241437 4453926 5196247 5938568 6918072 8482874 8907852 10392494 12724311 15588741 16965748 17815704 20784988 25448622 29690059 31177482 33931496 41569976 50897244 59380118 62354964 89070177 101794488 118760236 124709928 178140354 237520472 296777053 356280708 593554106 712561416 890331159 1187108212 1780662318 2077439371 2374216424 3561324636 4154878742 6232318113 7122649272 8309757484 12464636226 16619514968 24929272452 30568036459 49858544904 61136072918 91704109377 122272145836 183408218754 213976255213 244544291672 366816437508 427952510426 641928765639 733632875016 855905020852 1283857531278 1711810041704 2567715062556 5135430125112