Search a number
-
+
5126535450 = 23252411391999
BaseRepresentation
bin1001100011001000…
…01011100100011010
3111020021110222120100
410301210023210122
540444343113300
62204411240230
7241016555331
oct46144134432
914207428510
105126535450
1121a0882a63
12bb0a49076
1363913343a
14368bdcd18
152000ed700
hex13190b91a

5126535450 has 144 divisors (see below), whose sum is σ = 14217840000. Its totient is φ = 1323475200.

The previous prime is 5126535431. The next prime is 5126535497. The reversal of 5126535450 is 545356215.

5126535450 is a `hidden beast` number, since 51 + 2 + 65 + 3 + 545 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2563551 + ... + 2565549.

It is an arithmetic number, because the mean of its divisors is an integer number (98735000).

Almost surely, 25126535450 is an apocalyptic number.

5126535450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5126535450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920000).

5126535450 is an abundant number, since it is smaller than the sum of its proper divisors (9091304550).

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

5126535450 is a wasteful number, since it uses less digits than its factorization.

5126535450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5126535450 is about 71599.8285612473. The cubic root of 5126535450 is about 1724.2807839800.

The spelling of 5126535450 in words is "five billion, one hundred twenty-six million, five hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 139 150 205 225 246 278 369 410 417 450 615 695 738 834 1025 1230 1251 1390 1845 1999 2050 2085 2502 3075 3475 3690 3998 4170 5699 5997 6150 6255 6950 9225 9995 10425 11398 11994 12510 17097 17991 18450 19990 20850 28495 29985 31275 34194 35982 49975 51291 56990 59970 62550 81959 85485 89955 99950 102582 142475 149925 163918 170970 179910 245877 256455 277861 284950 299850 409795 427425 449775 491754 512910 555722 737631 819590 833583 854850 899550 1229385 1282275 1389305 1475262 1667166 2048975 2458770 2500749 2564550 2778610 3688155 4097950 4167915 5001498 6146925 6946525 7376310 8335830 11392301 12293850 12503745 13893050 18440775 20839575 22784602 25007490 34176903 36881550 41679150 56961505 62518725 68353806 102530709 113923010 125037450 170884515 205061418 284807525 341769030 512653545 569615050 854422575 1025307090 1708845150 2563267725 5126535450