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5456605050 = 23252137911807
BaseRepresentation
bin1010001010011110…
…10010111101111010
3112002021120020221100
411011033102331322
542133342330200
62301241552230
7252135243351
oct50517227572
915067506840
105456605050
112350125156
1210834a5676
1368c62bab0
1439a99c998
1521e09bd00
hex1453d2f7a

5456605050 has 144 divisors (see below), whose sum is σ = 15988976640. Its totient is φ = 1326049920.

The previous prime is 5456605019. The next prime is 5456605051. The reversal of 5456605050 is 505066545.

It is a happy number.

5456605050 is a `hidden beast` number, since 5 + 45 + 6 + 605 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5456604996 and 5456605014.

It is not an unprimeable number, because it can be changed into a prime (5456605051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 456247 + ... + 468053.

It is an arithmetic number, because the mean of its divisors is an integer number (111034560).

Almost surely, 25456605050 is an apocalyptic number.

5456605050 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 5456605050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994488320).

5456605050 is an abundant number, since it is smaller than the sum of its proper divisors (10532371590).

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

5456605050 is a wasteful number, since it uses less digits than its factorization.

5456605050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11909 counting only the distinct ones).

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

The square root of 5456605050 is about 73868.8367987475. The cubic root of 5456605050 is about 1760.5195016446.

The spelling of 5456605050 in words is "five billion, four hundred fifty-six million, six hundred five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 79 90 117 130 150 158 195 225 234 237 325 390 395 450 474 585 650 711 790 975 1027 1170 1185 1422 1950 1975 2054 2370 2925 3081 3555 3950 5135 5850 5925 6162 7110 9243 10270 11807 11850 15405 17775 18486 23614 25675 30810 35421 35550 46215 51350 59035 70842 77025 92430 106263 118070 153491 154050 177105 212526 231075 295175 306982 354210 460473 462150 531315 590350 767455 885525 920946 932753 1062630 1381419 1534910 1771050 1865506 2302365 2656575 2762838 2798259 3837275 4604730 4663765 5313150 5596518 6907095 7674550 8394777 9327530 11511825 12125789 13814190 13991295 16789554 23023650 23318825 24251578 27982590 34535475 36377367 41973885 46637650 60628945 69070950 69956475 72754734 83947770 109132101 121257890 139912950 181886835 209869425 218264202 303144725 363773670 419738850 545660505 606289450 909434175 1091321010 1818868350 2728302525 5456605050