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47963325461490 = 23251733899250097
BaseRepresentation
bin10101110011111010101001…
…11110011111001111110010
320021211020201121200211020200
422321331110332133033302
522241312342304231430
6250002014133420030
713050143626451205
oct1271752476371762
9207736647624220
1047963325461490
111431214a90474a
12546774479a616
13209bbcb06495a
14bbb61a0b393c
155829820cc460
hex2b9f54f9f3f2

47963325461490 has 96 divisors (see below), whose sum is σ = 132079189310640. Its totient is φ = 12034300895232.

The previous prime is 47963325461477. The next prime is 47963325461561. The reversal of 47963325461490 is 9416452336974.

It is a happy number.

47963325461490 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 3 + 3 + 2 + 5 + 4 + 614 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44943227168841 + 3020098292649 = 6703971^2 + 1737843^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560122 + ... + 9810218.

Almost surely, 247963325461490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47963325461490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66039594655320).

47963325461490 is an abundant number, since it is smaller than the sum of its proper divisors (84115863849150).

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

47963325461490 is a wasteful number, since it uses less digits than its factorization.

47963325461490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253516 (or 9253513 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 47963325461490 in words is "forty-seven trillion, nine hundred sixty-three billion, three hundred twenty-five million, four hundred sixty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 3389 6778 10167 16945 20334 30501 33890 50835 57613 61002 101670 115226 152505 172839 288065 305010 345678 518517 576130 864195 1037034 1728390 2592585 5185170 9250097 18500194 27750291 46250485 55500582 83250873 92500970 138751455 157251649 166501746 277502910 314503298 416254365 471754947 786258245 832508730 943509894 1415264841 1572516490 2358774735 2830529682 4717549470 7076324205 14152648410 31348578733 62697157466 94045736199 156742893665 188091472398 282137208597 313485787330 470228680995 532925838461 564274417194 940457361990 1065851676922 1410686042985 1598777515383 2664629192305 2821372085970 3197555030766 4796332546149 5329258384610 7993887576915 9592665092298 15987775153830 23981662730745 47963325461490