Search a number
-
+
9706028702500 = 225413247932
BaseRepresentation
bin1000110100111101110001…
…1001001001101100100100
31021100212221211101001012001
42031033130121021230210
52233010421321440000
632350515451535044
72021144303503024
oct215173431115444
937325854331161
109706028702500
113102338192189
12110911545a484
13555375334c00
14257aba94ba84
1511c721b8b46a
hex8d3dc649b24

9706028702500 has 135 divisors (see below), whose sum is σ = 22988235693423. Its totient is φ = 3583016736000.

The previous prime is 9706028702441. The next prime is 9706028702561. The reversal of 9706028702500 is 52078206079.

The square root of 9706028702500 is 3115450.

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

It can be written as a sum of positive squares in 22 ways, for example, as 9031383311076 + 674645391424 = 3005226^2 + 821368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2025040104 + ... + 2025044896.

Almost surely, 29706028702500 is an apocalyptic number.

9706028702500 is the 3115450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9706028702500

9706028702500 is an abundant number, since it is smaller than the sum of its proper divisors (13282206990923).

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

9706028702500 is an frugal number, since it uses more digits than its factorization.

9706028702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9636 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 9706028702500 in words is "nine trillion, seven hundred six billion, twenty-eight million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 625 650 676 845 1250 1300 1625 1690 2500 3250 3380 4225 4793 6500 8125 8450 9586 16250 16900 19172 21125 23965 32500 42250 47930 62309 84500 95860 105625 119825 124618 211250 239650 249236 311545 422500 479300 599125 623090 810017 1198250 1246180 1557725 1620034 2396500 2995625 3115450 3240068 4050085 5991250 6230900 7788625 8100170 11982500 15577250 16200340 20250425 22972849 31154500 38943125 40500850 45945698 77886250 81001700 91891396 101252125 114864245 155772500 202504250 229728490 298647037 405008500 459456980 506260625 574321225 597294074 1012521250 1148642450 1194588148 1493235185 2025042500 2297284900 2871606125 2986470370 3882411481 5743212250 5972940740 7466175925 7764822962 11486424500 14358030625 14932351850 15529645924 19412057405 28716061250 29864703700 37330879625 38824114810 57432122500 74661759250 77648229620 97060287025 149323518500 186654398125 194120574050 373308796250 388241148100 485301435125 746617592500 970602870250 1941205740500 2426507175625 4853014351250 9706028702500