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47023645450540 = 22511897549318137
BaseRepresentation
bin10101011000100100010111…
…01011101110000100101100
320011111102020200222022222011
422230102023223232010230
522130413411213404130
6244002210421531004
712622226525241433
oct1254221353560454
9204442220868864
1047023645450540
1113a8a685a53380
1253355b7873a64
132031406902535
14b87d56c1811a
155682d622552a
hex2ac48baee12c

47023645450540 has 96 divisors (see below), whose sum is σ = 108952084584000. Its totient is φ = 16905085317120.

The previous prime is 47023645450511. The next prime is 47023645450541. The reversal of 47023645450540 is 4505454632074.

It is a super-2 number, since 2×470236454505402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47023645450541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147650352 + ... + 147968488.

It is an arithmetic number, because the mean of its divisors is an integer number (1134917547750).

Almost surely, 247023645450540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47023645450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54476042292000).

47023645450540 is an abundant number, since it is smaller than the sum of its proper divisors (61928439133460).

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

47023645450540 is a wasteful number, since it uses less digits than its factorization.

47023645450540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325795 (or 325793 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 49.

The spelling of 47023645450540 in words is "forty-seven trillion, twenty-three billion, six hundred forty-five million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 7549 9790 15098 19580 30196 37745 75490 83039 150980 166078 318137 332156 415195 636274 671861 830390 1272548 1343722 1590685 1660780 2687444 3181370 3359305 3499507 6362740 6718610 6999014 7390471 13437220 13998028 14780942 17497535 28314193 29561884 34995070 36952355 56628386 69990140 73904710 113256772 141570965 147809420 283141930 311456123 566283860 622912246 1245824492 1557280615 2401616213 3114561230 4803232426 6229122460 9606464852 12008081065 24016162130 26417778343 48032324260 52835556686 105671113372 132088891715 213743842957 264177783430 427487685914 528355566860 854975371828 1068719214785 2137438429570 2351182272527 4274876859140 4702364545054 9404729090108 11755911362635 23511822725270 47023645450540