Search a number
-
+
533402041104 = 2435269510007
BaseRepresentation
bin1111100001100010011…
…11010011101100010000
31212222210201001012200000
413300301033103230100
532214401410303404
61045012544530000
753352125353362
oct7606117235420
91788721035600
10533402041104
1119623a601349
1287463320900
133b3b82a1a3a
141bb6140ad32
15dd1d269339
hex7c313d3b10

533402041104 has 120 divisors (see below), whose sum is σ = 1553831173440. Its totient is φ = 177139363968.

The previous prime is 533402041091. The next prime is 533402041147. The reversal of 533402041104 is 401140204335.

It is a happy number.

533402041104 is a `hidden beast` number, since 5 + 3 + 340 + 204 + 110 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790869 + ... + 1300875.

It is an arithmetic number, because the mean of its divisors is an integer number (12948593112).

Almost surely, 2533402041104 is an apocalyptic number.

533402041104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533402041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776915586720).

533402041104 is an abundant number, since it is smaller than the sum of its proper divisors (1020429132336).

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

533402041104 is a wasteful number, since it uses less digits than its factorization.

533402041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510299 (or 510281 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 533402041104 its reverse (401140204335), we get a palindrome (934542245439).

The spelling of 533402041104 in words is "five hundred thirty-three billion, four hundred two million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 269 324 432 486 538 648 807 972 1076 1296 1614 1944 2152 2421 3228 3888 4304 4842 6456 7263 9684 12912 14526 19368 21789 29052 38736 43578 58104 65367 87156 116208 130734 174312 261468 348624 510007 522936 1020014 1045872 1530021 2040028 3060042 4080056 4590063 6120084 8160112 9180126 12240168 13770189 18360252 24480336 27540378 36720504 41310567 55080756 73441008 82621134 110161512 123931701 137191883 165242268 220323024 247863402 274383766 330484536 411575649 495726804 548767532 660969072 823151298 991453608 1097535064 1234726947 1646302596 1982907216 2195070128 2469453894 3292605192 3704180841 4938907788 6585210384 7408361682 9877815576 11112542523 14816723364 19755631152 22225085046 29633446728 33337627569 44450170092 59266893456 66675255138 88900340184 133350510276 177800680368 266701020552 533402041104