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5056102466464 = 257433358314549
BaseRepresentation
bin100100110010011011100…
…1100010000001110100000
3122220100200110210201021111
41021210313030100032200
51130314344212411324
614430424051033104
71031201634600250
oct111446714201640
918810613721244
105056102466464
11167a310036a25
12697aa659b794
132a8a331c809a
14136a06759960
158b7c2bde794
hex499373103a0

5056102466464 has 96 divisors (see below), whose sum is σ = 11406469939200. Its totient is φ = 2161144737792.

The previous prime is 5056102466461. The next prime is 5056102466507. The reversal of 5056102466464 is 4646642016505.

It is not an unprimeable number, because it can be changed into a prime (5056102466461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347515062 + ... + 347529610.

It is an arithmetic number, because the mean of its divisors is an integer number (118817395200).

Almost surely, 25056102466464 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 5056102466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703234969600).

5056102466464 is an abundant number, since it is smaller than the sum of its proper divisors (6350367472736).

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

5056102466464 is a wasteful number, since it uses less digits than its factorization.

5056102466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18582 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 5056102466464 in words is "five trillion, fifty-six billion, one hundred two million, four hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433 866 1732 3031 3464 3583 6062 6928 7166 12124 13856 14332 14549 24248 25081 28664 29098 48496 50162 57328 58196 96992 100324 101843 114656 116392 200648 203686 232784 401296 407372 465568 802592 814744 1551439 1629488 3102878 3258976 6205756 6299717 10860073 12411512 12599434 21720146 24823024 25198868 43440292 44098019 49646048 50397736 52129067 86880584 88196038 100795472 104258134 173761168 176392076 201590944 208516268 347522336 352784152 364903469 417032536 705568304 729806938 834065072 1411136608 1459613876 1668130144 2919227752 5838455504 11676911008 22571886011 45143772022 90287544044 158003202077 180575088088 316006404154 361150176176 632012808308 722300352352 1264025616616 2528051233232 5056102466464