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147975960424369 = 7211217292932
BaseRepresentation
bin100001101001010101010110…
…100011100110111110110001
3201101221100211002220222012111
4201221111112203212332301
5123343414231332034434
61242415115011325321
743111624150215100
oct4151252643467661
9641840732828174
10147975960424369
1143171285a30500
121471a8958b0841
1364750c4a5cb9c
142878108d8c037
1512192dac44964
hex8695568e6fb1

147975960424369 has 81 divisors (see below), whose sum is σ = 201012693236481. Its totient is φ = 108511562691840.

The previous prime is 147975960424363. The next prime is 147975960424393. The reversal of 147975960424369 is 963424069579741.

The square root of 147975960424369 is 12164537.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6449248174369 + 141526712250000 = 2539537^2 + 11896500^2 .

It is not a de Polignac number, because 147975960424369 - 23 = 147975960424361 is a prime.

It is a super-2 number, since 2×1479759604243692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147975960424295 and 147975960424304.

It is not an unprimeable number, because it can be changed into a prime (147975960424361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15923374287 + ... + 15923383579.

Almost surely, 2147975960424369 is an apocalyptic number.

147975960424369 is the 12164537-th square number.

147975960424369 is the 6082269-th centered octagonal number.

It is an amenable number.

147975960424369 is a deficient number, since it is larger than the sum of its proper divisors (53036732812112).

147975960424369 is an frugal number, since it uses more digits than its factorization.

147975960424369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18656 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 76.

The spelling of 147975960424369 in words is "one hundred forty-seven trillion, nine hundred seventy-five billion, nine hundred sixty million, four hundred twenty-four thousand, three hundred sixty-nine".

Divisors: 1 7 11 17 49 77 119 121 187 289 539 833 847 1309 2023 2057 3179 5929 9163 9293 14161 14399 22253 34969 65051 100793 102223 155771 157981 244783 455357 715561 1105867 1124453 1713481 1737791 2685677 5008927 7741069 7871171 12164537 18799739 19115701 29542447 55098197 85151759 86359849 131598173 133809907 206797129 324966917 604518943 936669349 949958339 1447579903 1468117433 2274768419 4231632601 6649708373 10276822031 10449541729 15923378933 16149291763 24957996361 46547958611 71937754217 73146792103 113045042341 174705974527 177642209393 274537959971 512027544721 791315296387 1222941821689 1243495465751 1921765719797 3019917559681 8704468260257 13452360038579 21139422917767 147975960424369