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4538914421952 = 263101433540557
BaseRepresentation
bin100001000001100110001…
…1000011011110011000000
3121001220201202020212112210
41002003030120123303000
51043331144043000302
613353052024222120
7645632350004631
oct102031430336300
917056652225483
104538914421952
11149aa40953269
1261380930a940
1326c030127591
141199828a7888
157d10313c66c
hex420cc61bcc0

4538914421952 has 112 divisors (see below), whose sum is σ = 12156146144352. Its totient is φ = 1494529228800.

The previous prime is 4538914421939. The next prime is 4538914421959. The reversal of 4538914421952 is 2591244198354.

It is a junction number, because it is equal to n+sod(n) for n = 4538914421892 and 4538914421901.

It is not an unprimeable number, because it can be changed into a prime (4538914421959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8126458 + ... + 8667014.

It is an arithmetic number, because the mean of its divisors is an integer number (108537019146).

Almost surely, 24538914421952 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 4538914421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078073072176).

4538914421952 is an abundant number, since it is smaller than the sum of its proper divisors (7617231722400).

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

4538914421952 is a wasteful number, since it uses less digits than its factorization.

4538914421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541106 (or 541096 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 4538914421952 in words is "four trillion, five hundred thirty-eight billion, nine hundred fourteen million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 433 606 808 866 1212 1299 1616 1732 2424 2598 3232 3464 4848 5196 6464 6928 9696 10392 13856 19392 20784 27712 41568 43733 83136 87466 131199 174932 262398 349864 524796 540557 699728 1049592 1081114 1399456 1621671 2099184 2162228 2798912 3243342 4198368 4324456 6486684 8396736 8648912 12973368 17297824 25946736 34595648 51893472 54596257 103786944 109192514 163788771 218385028 234061181 327577542 436770056 468122362 655155084 702183543 873540112 936244724 1310310168 1404367086 1747080224 1872489448 2620620336 2808734172 3494160448 3744978896 5241240672 5617468344 7489957792 10482481344 11234936688 14979915584 22469873376 23640179281 44939746752 47280358562 70920537843 94560717124 141841075686 189121434248 283682151372 378242868496 567364302744 756485736992 1134728605488 1512971473984 2269457210976 4538914421952