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5057101512 = 233410177269
BaseRepresentation
bin1001011010110110…
…10011111011001000
3111001102211101010000
410231123103323020
540324104222022
62153451123000
7236214440121
oct45533237310
914042741100
105057101512
112165669241
12b91743460
13627932478
1435d8c7048
151e8e856ac
hex12d6d3ec8

5057101512 has 80 divisors (see below), whose sum is σ = 14304995100. Its totient is φ = 1668988800.

The previous prime is 5057101501. The next prime is 5057101531. The reversal of 5057101512 is 2151017505.

5057101512 is a `hidden beast` number, since 505 + 7 + 1 + 0 + 151 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4442755716 + 614345796 = 66654^2 + 24786^2 .

It is a super-2 number, since 2×50571015122 = 51148551405345372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26814 + ... + 104082.

Almost surely, 25057101512 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 5057101512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152497550).

5057101512 is an abundant number, since it is smaller than the sum of its proper divisors (9247893588).

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

5057101512 is a wasteful number, since it uses less digits than its factorization.

5057101512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77388 (or 77375 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 5057101512 is about 71113.3005281009. The cubic root of 5057101512 is about 1716.4608034325.

It can be divided in two parts, 505 and 7101512, that added together give a palindrome (7102017).

The spelling of 5057101512 in words is "five billion, fifty-seven million, one hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 909 1212 1818 2424 2727 3636 5454 7272 8181 10908 16362 21816 32724 65448 77269 154538 231807 309076 463614 618152 695421 927228 1390842 1854456 2086263 2781684 4172526 5563368 6258789 7804169 8345052 12517578 15608338 16690104 23412507 25035156 31216676 46825014 50070312 62433352 70237521 93650028 140475042 187300056 210712563 280950084 421425126 561900168 632137689 842850252 1264275378 1685700504 2528550756 5057101512