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1338524046916 = 227223235932
BaseRepresentation
bin10011011110100110010…
…000000001011001000100
311201221222001010210201121
4103132212100001121010
5133412244124000131
62502524235403324
7165463605450100
oct23364620013104
94657861123647
101338524046916
11476734a248a1
121974b8bb3544
13992b7456b84
1448adbb12900
1524c41062911
hex137a6401644

1338524046916 has 81 divisors (see below), whose sum is σ = 2849268328221. Its totient is φ = 548559004224.

The previous prime is 1338524046869. The next prime is 1338524046919. The reversal of 1338524046916 is 6196404258331.

The square root of 1338524046916 is 1156946.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 425169202500 + 913354844416 = 652050^2 + 955696^2 .

It is a super-2 number, since 2×13385240469162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1338524046919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 372534816 + ... + 372538408.

Almost surely, 21338524046916 is an apocalyptic number.

1338524046916 is the 1156946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338524046916

1338524046916 is an abundant number, since it is smaller than the sum of its proper divisors (1510744281305).

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

1338524046916 is an frugal number, since it uses more digits than its factorization.

1338524046916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7250 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 1338524046916 in words is "one trillion, three hundred thirty-eight billion, five hundred twenty-four million, forty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 2116 2254 3593 3703 4508 7186 7406 14372 14812 25151 25921 50302 51842 82639 100604 103684 165278 176057 330556 352114 578473 704228 1156946 1900697 2313892 3801394 4049311 7602788 8098622 12909649 13304879 16197244 25819298 26609758 51638596 53219516 90367543 93134153 180735086 186268306 296921927 361470172 372536612 593843854 632572801 1187687708 1265145602 2078453489 2530291204 4156906978 6829204321 8313813956 13658408642 14549174423 27316817284 29098348846 47804430247 58196697692 95608860494 191217720988 334631011729 669262023458 1338524046916