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313749226952 = 237219214892
BaseRepresentation
bin1001001000011001110…
…10010100010111001000
31002222211201112010100222
410210030322110113020
520120024300230302
6400045010445212
731444666266200
oct4441472242710
91088751463328
10313749226952
11111073293a87
1250981b93808
13237814b7265
14112851bb400
1582647a8da2
hex490ce945c8

313749226952 has 108 divisors (see below), whose sum is σ = 722723626305. Its totient is φ = 127301352192.

The previous prime is 313749226939. The next prime is 313749226963. The reversal of 313749226952 is 259622947313.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 285576947236 + 28172279716 = 534394^2 + 167846^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=396074.

It is a junction number, because it is equal to n+sod(n) for n = 313749226894 and 313749226903.

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, 210710624 + ... + 210712112.

Almost surely, 2313749226952 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 313749226952

313749226952 is an abundant number, since it is smaller than the sum of its proper divisors (408974399353).

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

313749226952 is an equidigital number, since it uses as much as digits as its factorization.

313749226952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 1517 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 53.

The spelling of 313749226952 in words is "three hundred thirteen billion, seven hundred forty-nine million, two hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 1064 1444 1489 1862 2527 2888 2978 3724 5054 5956 7448 10108 10423 11912 17689 20216 20846 28291 35378 41692 56582 70756 72961 83384 113164 141512 145922 198037 226328 291844 396074 537529 583688 792148 1075058 1386259 1584296 2150116 2217121 2772518 3762703 4300232 4434242 5545036 7525406 8868484 11090072 15050812 15519847 17736968 26338921 30101624 31039694 42125299 52677842 62079388 84250598 105355684 108638929 124158776 168501196 210711368 217277858 294877093 337002392 434555716 589754186 800380681 869111432 1179508372 1600761362 2064139651 2359016744 3201522724 4128279302 5602664767 6403045448 8256558604 11205329534 16513117208 22410659068 39218653369 44821318136 78437306738 156874613476 313749226952