Search a number
-
+
51342005000 = 2354111371807
BaseRepresentation
bin101111110100001110…
…001101001100001000
311220112010001002101202
4233310032031030020
51320122023130000
635330341203332
73465205561526
oct576416151410
9156463032352
1051342005000
111a8572502a0
129b4a400548
134ac2ac4020
1426b0a67316
1515075d0dd5
hexbf438d308

51342005000 has 160 divisors (see below), whose sum is σ = 141326760960. Its totient is φ = 17233440000.

The previous prime is 51342004969. The next prime is 51342005017. The reversal of 51342005000 is 50024315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 679097 + ... + 750903.

It is an arithmetic number, because the mean of its divisors is an integer number (883292256).

Almost surely, 251342005000 is an apocalyptic number.

51342005000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51342005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70663380480).

51342005000 is an abundant number, since it is smaller than the sum of its proper divisors (89984755960).

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

51342005000 is a wasteful number, since it uses less digits than its factorization.

51342005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71857 (or 71838 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 51342005000 its reverse (50024315), we get a palindrome (51392029315).

The spelling of 51342005000 in words is "fifty-one billion, three hundred forty-two million, five thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 625 650 715 1000 1100 1144 1250 1300 1375 1430 1625 2200 2500 2600 2750 2860 3250 3575 5000 5500 5720 6500 6875 7150 8125 11000 13000 13750 14300 16250 17875 27500 28600 32500 35750 55000 65000 71500 71807 89375 143000 143614 178750 287228 357500 359035 574456 715000 718070 789877 933491 1436140 1579754 1795175 1866982 2872280 3159508 3590350 3733964 3949385 4667455 6319016 7180700 7467928 7898770 8975875 9334910 10268401 14361400 15797540 17951750 18669820 19746925 20536802 23337275 31595080 35903500 37339640 39493850 41073604 44879375 46674550 51342005 71807000 78987700 82147208 89758750 93349100 98734625 102684010 116686375 157975400 179517500 186698200 197469250 205368020 233372750 256710025 359035000 394938500 410736040 466745500 493673125 513420050 583431875 789877000 933491000 987346250 1026840100 1166863750 1283550125 1974692500 2053680200 2333727500 2567100250 3949385000 4667455000 5134200500 6417750625 10268401000 12835501250 25671002500 51342005000