Search a number
-
+
511352050044 = 2231123247155809
BaseRepresentation
bin1110111000011101111…
…01010001000101111100
31210212220000002121100110
413130032331101011330
531334222111100134
61030524545030020
751641531465223
oct7341675210574
91725800077313
10511352050044
111879549a0740
128312a925310
13392b2c98754
141aa6cb75cba
15d47c5637e9
hex770ef5117c

511352050044 has 144 divisors (see below), whose sum is σ = 1389635735040. Its totient is φ = 145063480320.

The previous prime is 511352049973. The next prime is 511352050087. The reversal of 511352050044 is 440050253115.

It is a super-2 number, since 2×5113520500442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 511352049993 and 511352050020.

It is a congruent number.

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, 3204012 + ... + 3359820.

It is an arithmetic number, because the mean of its divisors is an integer number (9650248160).

Almost surely, 2511352050044 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 511352050044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694817867520).

511352050044 is an abundant number, since it is smaller than the sum of its proper divisors (878283684996).

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

511352050044 is a wasteful number, since it uses less digits than its factorization.

511352050044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155920 (or 155895 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 511352050044 in words is "five hundred eleven billion, three hundred fifty-two million, fifty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 47 66 69 92 94 132 138 141 188 253 276 282 506 517 529 564 759 1012 1034 1058 1081 1518 1551 1587 2068 2116 2162 3036 3102 3174 3243 4324 5819 6204 6348 6486 11638 11891 12972 17457 23276 23782 24863 34914 35673 47564 49726 69828 71346 74589 99452 142692 149178 155809 273493 298356 311618 467427 546986 623236 820479 934854 1093972 1640958 1713899 1869708 3281916 3427798 3583607 5141697 6855596 7167214 7323023 10283394 10750821 14334428 14646046 20566788 21501642 21969069 29292092 39419677 43003284 43938138 78839354 80553253 82422961 87876276 118259031 157678708 161106506 164845922 168429529 236518062 241659759 247268883 322213012 329691844 336859058 473036124 483319518 494537766 505288587 673718116 906652571 966639036 989075532 1010577174 1813305142 1852724819 2021154348 2719957713 3626610284 3705449638 3873879167 5439915426 5558174457 7410899276 7747758334 10879830852 11116348914 11621637501 15495516668 22232697828 23243275002 42612670837 46486550004 85225341674 127838012511 170450683348 255676025022 511352050044