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5135712512 = 28717263641
BaseRepresentation
bin1001100100001110…
…01100000100000000
3111020220202020010112
410302013030010000
541004220300022
62205340050452
7241160556530
oct46207140400
914226666115
105135712512
1121a5a80907
12bb3b33a28
1363acc7558
1436a10b4c0
15200d128e2
hex1321cc100

5135712512 has 144 divisors (see below), whose sum is σ = 12471604992. Its totient is φ = 2060451840.

The previous prime is 5135712499. The next prime is 5135712541. The reversal of 5135712512 is 2152175315.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 8011712 + ... + 8012352.

It is an arithmetic number, because the mean of its divisors is an integer number (86608368).

Almost surely, 25135712512 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 5135712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235802496).

5135712512 is an abundant number, since it is smaller than the sum of its proper divisors (7335892480).

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

5135712512 is a wasteful number, since it uses less digits than its factorization.

5135712512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its digits is 10500, while the sum is 32.

The square root of 5135712512 is about 71663.8856886786. The cubic root of 5135712512 is about 1725.3090547007.

Adding to 5135712512 its reverse (2152175315), we get a palindrome (7287887827).

The spelling of 5135712512 in words is "five billion, one hundred thirty-five million, seven hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 263 272 448 476 526 544 641 896 952 1052 1088 1282 1792 1841 1904 2104 2176 2564 3682 3808 4208 4352 4471 4487 5128 7364 7616 8416 8942 8974 10256 10897 14728 15232 16832 17884 17948 20512 21794 29456 30464 31297 33664 35768 35896 41024 43588 58912 62594 67328 71536 71792 76279 82048 87176 117824 125188 143072 143584 152558 164096 168583 174352 235648 250376 286144 287168 305116 337166 348704 471296 500752 572288 574336 610232 674332 697408 1001504 1144576 1148672 1180081 1220464 1348664 1394816 2003008 2360162 2440928 2697328 2789632 2865911 4006016 4720324 4881856 5394656 5731822 8012032 9440648 9763712 10789312 11463644 18881296 19527424 20061377 21578624 22927288 37762592 40122754 43157248 45854576 75525184 80245508 91709152 151050368 160491016 183418304 302100736 320982032 366836608 641964064 733673216 1283928128 2567856256 5135712512