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10344752938276 = 225929722812
BaseRepresentation
bin1001011010001001001101…
…0100101111110100100100
31100121221121121201002122221
42112202103110233310210
52323442023223011101
634000151445002124
72115245423101441
oct226422324576444
940557547632587
1010344752938276
11332920438a219
1211b0a709b3344
135a06769440a3
1427a98db8a9c8
1512e1564dbaa1
hex9689352fd24

10344752938276 has 81 divisors (see below), whose sum is σ = 18673613663187. Its totient is φ = 5014380887040.

The previous prime is 10344752938253. The next prime is 10344752938283. The reversal of 10344752938276 is 67283925744301.

The square root of 10344752938276 is 3216326.

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

It can be written as a sum of positive squares in 4 ways, for example, as 170082008100 + 10174670930176 = 412410^2 + 3189776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36814067256 + ... + 36814067536.

It is a 1-persistent number, because it is pandigital, but 2⋅10344752938276 = 20689505876552 is not.

Almost surely, 210344752938276 is an apocalyptic number.

10344752938276 is the 3216326-th square number.

It is an amenable number.

10344752938276 is a deficient number, since it is larger than the sum of its proper divisors (8328860724911).

10344752938276 is an frugal number, since it uses more digits than its factorization.

10344752938276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 10344752938276 in words is "ten trillion, three hundred forty-four billion, seven hundred fifty-two million, nine hundred thirty-eight thousand, two hundred seventy-six".

Divisors: 1 2 4 59 97 118 194 236 281 388 562 1124 3481 5723 6962 9409 11446 13924 16579 18818 22892 27257 33158 37636 54514 66316 78961 109028 157922 315844 337657 555131 675314 978161 1110262 1350628 1608163 1956322 2220524 2643929 3216326 3912644 4658699 5287858 6432652 7659217 9317398 10575716 15318434 18634796 30636868 32752729 65505458 94881617 131010916 155991811 189763234 274863241 311983622 379526468 451893803 549726482 623967244 742944049 903787606 1099452964 1485888098 1807575212 2971776196 9203516849 18407033698 26661734377 36814067396 43833698891 53323468754 87667397782 106646937508 175334795564 2586188234569 5172376469138 10344752938276