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5103305136 = 2432231818513
BaseRepresentation
bin1001100000010111…
…00100000110110000
3111011122202202120100
410300023210012300
540422421231021
62202221312400
7240315243426
oct46013440660
914148682510
105103305136
112189756756
12ba5105700
1363438b8a7
14365ab3116
151ed060626
hex1302e41b0

5103305136 has 120 divisors (see below), whose sum is σ = 14987228256. Its totient is φ = 1617960960.

The previous prime is 5103305107. The next prime is 5103305161. The reversal of 5103305136 is 6315033015.

It is a super-2 number, since 2×51033051362 = 52087446622247956992, which contains 22 as substring.

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, 595216 + ... + 603728.

Almost surely, 25103305136 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 5103305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493614128).

5103305136 is an abundant number, since it is smaller than the sum of its proper divisors (9883923120).

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

5103305136 is a wasteful number, since it uses less digits than its factorization.

5103305136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5103305136 is about 71437.4211180667. The cubic root of 5103305136 is about 1721.6723791651.

The spelling of 5103305136 in words is "five billion, one hundred three million, three hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 181 184 207 276 362 368 414 543 552 724 828 1086 1104 1448 1629 1656 2172 2896 3258 3312 4163 4344 6516 8326 8513 8688 12489 13032 16652 17026 24978 25539 26064 33304 34052 37467 49956 51078 66608 68104 74934 76617 99912 102156 136208 149868 153234 195799 199824 204312 299736 306468 391598 408624 587397 599472 612936 783196 1174794 1225872 1540853 1566392 1762191 2349588 3081706 3132784 3524382 4622559 4699176 6163412 7048764 9245118 9398352 12326824 13867677 14097528 18490236 24653648 27735354 28195056 35439619 36980472 55470708 70879238 73960944 106318857 110941416 141758476 212637714 221882832 283516952 318956571 425275428 567033904 637913142 850550856 1275826284 1701101712 2551652568 5103305136