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4954132439136 = 2532372631767737
BaseRepresentation
bin100100000010111100101…
…0011011110000001100000
3122112121111000012121120200
41020011321103132001200
51122132030401023021
614311521431305200
71020632006632656
oct110057123360140
918477430177520
104954132439136
111640043676171
12680188b1b200
1329c2325069ca
14131ad1c02dd6
1588d05a63126
hex481794de060

4954132439136 has 144 divisors (see below), whose sum is σ = 14524103097504. Its totient is φ = 1600635451392.

The previous prime is 4954132439101. The next prime is 4954132439141. The reversal of 4954132439136 is 6319342314594.

4954132439136 is a `hidden beast` number, since 4 + 9 + 5 + 41 + 32 + 439 + 136 = 666.

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

It is a super-2 number, since 2×49541324391362 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1918660 + ... + 3686396.

It is an arithmetic number, because the mean of its divisors is an integer number (100861827066).

Almost surely, 24954132439136 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 4954132439136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262051548752).

4954132439136 is an abundant number, since it is smaller than the sum of its proper divisors (9569970658368).

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

4954132439136 is a wasteful number, since it uses less digits than its factorization.

4954132439136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768053 (or 1768042 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 4954132439136 in words is "four trillion, nine hundred fifty-four billion, one hundred thirty-two million, four hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 263 288 296 333 444 526 592 666 789 888 1052 1184 1332 1578 1776 2104 2367 2664 3156 3552 4208 4734 5328 6312 8416 9468 9731 10656 12624 18936 19462 25248 29193 37872 38924 58386 75744 77848 87579 116772 155696 175158 233544 311392 350316 467088 700632 934176 1401264 1767737 2802528 3535474 5303211 7070948 10606422 14141896 15909633 21212844 28283792 31819266 42425688 56567584 63638532 65406269 84851376 127277064 130812538 169702752 196218807 254554128 261625076 392437614 464914831 509108256 523250152 588656421 784875228 929829662 1046500304 1177312842 1394744493 1569750456 1859659324 2093000608 2354625684 2789488986 3139500912 3719318648 4184233479 4709251368 5578977972 6279001824 7438637296 8368466958 9418502736 11157955944 14877274592 16736933916 17201848747 18837005472 22315911888 33473867832 34403697494 44631823776 51605546241 66947735664 68807394988 103211092482 133895471328 137614789976 154816638723 206422184964 275229579952 309633277446 412844369928 550459159904 619266554892 825688739856 1238533109784 1651377479712 2477066219568 4954132439136