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3383999389225 = 52721343112
BaseRepresentation
bin110001001111100110000…
…101001101111000101001
3102222111200201212101211001
4301033212011031320221
5420420412320423400
611110330551035001
7466325442132100
oct61174605157051
912874621771731
103383999389225
111095167486404
12467a1266ba61
131b7157230000
14b9b02009037
155d05b575a6a
hex313e614de29

3383999389225 has 135 divisors (see below), whose sum is σ = 5305060659651. Its totient is φ = 2135072721600.

The previous prime is 3383999389201. The next prime is 3383999389249. The reversal of 3383999389225 is 5229839993833.

The square root of 3383999389225 is 1839565.

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

3383999389225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3383999389201) and next prime (3383999389249).

It can be written as a sum of positive squares in 7 ways, for example, as 3320226978201 + 63772411024 = 1822149^2 + 252532^2 .

It is not a de Polignac number, because 3383999389225 - 221 = 3383997292073 is a prime.

It is a super-2 number, since 2×33839993892252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10881026820 + ... + 10881027130.

Almost surely, 23383999389225 is an apocalyptic number.

3383999389225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3383999389225 is the 1839565-th square number.

3383999389225 is the 919783-rd centered octagonal number.

It is an amenable number.

3383999389225 is a deficient number, since it is larger than the sum of its proper divisors (1921061270426).

3383999389225 is an frugal number, since it uses more digits than its factorization.

3383999389225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 336 counting only the distinct ones).

The product of its digits is 680244480, while the sum is 73.

The spelling of 3383999389225 in words is "three trillion, three hundred eighty-three billion, nine hundred ninety-nine million, three hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 311 325 455 637 845 1183 1225 1555 2177 2197 2275 3185 4043 4225 5915 7775 8281 10885 10985 15239 15379 15925 20215 28301 28561 29575 41405 52559 54425 54925 76195 76895 96721 101075 107653 141505 142805 198107 199927 207025 262795 367913 380975 384475 483605 538265 677047 683267 707525 714025 990535 999635 1257373 1313975 1399489 1839565 2418025 2575391 2691325 3385235 3416335 4739329 4782869 4952675 4998175 6286865 6997445 8801611 8882471 9197825 12876955 16345849 16926175 17081675 23696645 23914345 31434325 33480083 34987225 44008055 44412355 61611277 62177297 64384775 81729245 114420943 118483225 119571725 167400415 212496037 220040275 222061775 308056385 310886485 408646225 435241079 572104715 800946601 837002075 1062480185 1487472259 1540281925 1554432425 2176205395 2762448481 2860523575 4004733005 5312400925 7437361295 10412305813 10881026975 13812242405 19337139367 20023665025 37186806475 52061529065 69061212025 96685696835 135359975569 260307645325 483428484175 676799877845 3383999389225