Search a number
-
+
56167506737034 = 23711214937402709
BaseRepresentation
bin11001100010101100001000…
…10010010111011110001010
321100212120011010011201100120
430301112010102113132022
524330222023211041114
6315242555115044110
714554653114621240
oct1461260422273612
9240776133151316
1056167506737034
11169955622a6300
126371780440636
13254575b2c9004
14dc2743c94790
156760a45e85a9
hex33158449778a

56167506737034 has 96 divisors (see below), whose sum is σ = 141209595112320. Its totient is φ = 14579189243520.

The previous prime is 56167506737003. The next prime is 56167506737093. The reversal of 56167506737034 is 43073760576165.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886072 + ... + 11288780.

It is an arithmetic number, because the mean of its divisors is an integer number (1470933282420).

Almost surely, 256167506737034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56167506737034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70604797556160).

56167506737034 is an abundant number, since it is smaller than the sum of its proper divisors (85042088375286).

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

56167506737034 is a wasteful number, since it uses less digits than its factorization.

56167506737034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404236 (or 7404225 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 60.

The spelling of 56167506737034 in words is "fifty-six trillion, one hundred sixty-seven billion, five hundred six million, seven hundred thirty-seven thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1493 1694 2541 2986 4479 5082 8958 10451 16423 20902 31353 32846 49269 62706 98538 114961 180653 229922 344883 361306 541959 689766 1083918 1264571 2529142 3793713 7402709 7587426 14805418 22208127 44416254 51818963 81429799 103637926 155456889 162859598 244289397 310913778 488578794 570008593 895727789 1140017186 1710025779 1791455578 2687183367 3420051558 5374366734 6270094523 11052244537 12540189046 18810283569 22104489074 33156733611 37620567138 66313467222 77365711759 121574689907 154731423518 232097135277 243149379814 364724069721 464194270554 729448139442 851022829349 1337321588977 1702045658698 2553068488047 2674643177954 4011964766931 5106136976094 8023929533862 9361251122839 18722502245678 28083753368517 56167506737034