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5086371168 = 2532177271429
BaseRepresentation
bin1001011110010101…
…11101110101100000
3111010110220102112100
410233022331311200
540404102334133
62200414330400
7240021304314
oct45712756540
914113812470
105086371168
11218013aa3a
12b9b4b9a00
13630a0cba8
14363745b44
151eb817e13
hex12f2bdd60

5086371168 has 144 divisors (see below), whose sum is σ = 15347011680. Its totient is φ = 1592414208.

The previous prime is 5086371163. The next prime is 5086371181. The reversal of 5086371168 is 8611736805.

5086371168 is a `hidden beast` number, since 5 + 0 + 8 + 637 + 1 + 1 + 6 + 8 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086371163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3558678 + ... + 3560106.

It is an arithmetic number, because the mean of its divisors is an integer number (106576470).

Almost surely, 25086371168 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 5086371168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673505840).

5086371168 is an abundant number, since it is smaller than the sum of its proper divisors (10260640512).

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

5086371168 is a wasteful number, since it uses less digits than its factorization.

5086371168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5086371168 is about 71318.7995412149. The cubic root of 5086371168 is about 1719.7659641907.

The spelling of 5086371168 in words is "five billion, eighty-six million, three hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 727 816 1224 1429 1454 1632 2181 2448 2858 2908 4287 4362 4896 5716 5816 6543 8574 8724 11432 11632 12359 12861 13086 17148 17448 22864 23264 24293 24718 25722 26172 34296 34896 37077 45728 48586 49436 51444 52344 68592 69792 72879 74154 97172 98872 102888 104688 111231 137184 145758 148308 194344 197744 205776 209376 218637 222462 291516 296616 388688 395488 411552 437274 444924 583032 593232 777376 874548 889848 1038883 1166064 1186464 1749096 1779696 2077766 2332128 3116649 3498192 3559392 4155532 6233298 6996384 8311064 9349947 12466596 16622128 17661011 18699894 24933192 33244256 35322022 37399788 49866384 52983033 70644044 74799576 99732768 105966066 141288088 149599152 158949099 211932132 282576176 299198304 317898198 423864264 565152352 635796396 847728528 1271592792 1695457056 2543185584 5086371168