Search a number
-
+
4886226251361 = 347213226992
BaseRepresentation
bin100011100011010100111…
…0001111010111001100001
3122022010012111201212010000
41013012221301322321201
51120023442410020421
614220411254130213
71013006145566100
oct107065161727141
918263174655100
104886226251361
111614267376224
1266ab97350969
132959ccac1900
1412c6cd306037
158717e196226
hex471a9c7ae61

4886226251361 has 135 divisors (see below), whose sum is σ = 9197674244451. Its totient is φ = 2576395182816.

The previous prime is 4886226251327. The next prime is 4886226251381. The reversal of 4886226251361 is 1631526226884.

The square root of 4886226251361 is 2210481.

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

4886226251361 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 2 + 2 + 62 + 513 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 722814534225 + 4163411717136 = 850185^2 + 2040444^2 .

It is not a de Polignac number, because 4886226251361 - 27 = 4886226251233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4886226251298 and 4886226251307.

It is not an unprimeable number, because it can be changed into a prime (4886226251311) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1810382590 + ... + 1810385288.

Almost surely, 24886226251361 is an apocalyptic number.

4886226251361 is the 2210481-st square number.

4886226251361 is the 1105241-st centered octagonal number.

It is an amenable number.

4886226251361 is a deficient number, since it is larger than the sum of its proper divisors (4311447993090).

4886226251361 is an frugal number, since it uses more digits than its factorization.

4886226251361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 2722 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 4886226251361 in words is "four trillion, eight hundred eighty-six billion, two hundred twenty-six million, two hundred fifty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 169 189 273 351 441 507 567 637 819 1053 1183 1323 1521 1911 2457 2699 3549 3969 4563 5733 7371 8097 8281 10647 13689 17199 18893 24291 24843 31941 35087 51597 56679 72873 74529 95823 105261 132251 170037 218619 223587 245609 315783 396753 456131 510111 670761 736827 947349 1190259 1368393 1530333 1719263 2210481 2842047 3192917 3570777 4105179 5157789 6631443 7284601 9578751 10712331 12315537 15473367 19894329 21853803 22350419 28736253 36946611 46420101 50992207 65561409 67051257 86208759 94699813 139260303 152976621 196684227 201153771 258626277 284099439 356945449 458929863 590052681 603461313 662898691 852298317 1070836347 1231097569 1376789589 1810383939 1988696073 2556894951 3212509041 3693292707 4130368767 4640290837 5966088219 7670684853 8617682983 9637527123 11079878121 13920872511 17898264657 25853048949 28912581369 33239634363 41762617533 53694793971 60323780881 77559146847 99718903089 125287852599 180971342643 232677440541 375863557797 542914027929 698032321623 1628742083787 4886226251361