Search a number
-
+
34621997330116 = 2272157226772
BaseRepresentation
bin1111101111101000011111…
…10110100010111011000100
311112120211102112002122222201
413313310033312202323010
514014221322304030431
6201345043114404244
710202233240436200
oct767641766427304
9145524375078881
1034621997330116
1110039119998989
123a71b84a30684
131641ac02c0b41
148799dc217b00
154008e6da4461
hex1f7d0fda2ec4

34621997330116 has 81 divisors (see below), whose sum is σ = 70958781102951. Its totient is φ = 14737981841856.

The previous prime is 34621997330087. The next prime is 34621997330153. The reversal of 34621997330116 is 61103379912643.

The square root of 34621997330116 is 5884046.

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

34621997330116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19950033170116 + 14671964160000 = 4466546^2 + 3830400^2 .

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, 12933131770 + ... + 12933134446.

Almost surely, 234621997330116 is an apocalyptic number.

34621997330116 is the 5884046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34621997330116

34621997330116 is an abundant number, since it is smaller than the sum of its proper divisors (36336783772835).

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

34621997330116 is an frugal number, since it uses more digits than its factorization.

34621997330116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 34621997330116 in words is "thirty-four trillion, six hundred twenty-one billion, nine hundred ninety-seven million, three hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 628 1099 2198 2677 4396 5354 7693 10708 15386 18739 24649 30772 37478 49298 74956 98596 131173 172543 262346 345086 420289 524692 690172 840578 1207801 1681156 2415602 2942023 4831204 5884046 7166329 11768092 14332658 20594161 28665316 41188322 50164303 65985373 82376644 100328606 131970746 200657212 263941492 351150121 461897611 702300242 923795222 1125113653 1404600484 1847590444 2250227306 3233283277 4500454612 6466566554 7875795571 12933133108 15751591142 31503182284 55130568997 110261137994 176642843521 220522275988 353285687042 706571374084 1236499904647 2472999809294 4945999618588 8655499332529 17310998665058 34621997330116