Search a number
-
+
51009320936 = 2376197257599
BaseRepresentation
bin101111100000011001…
…000111011111101000
311212122221000222122202
4233200121013133220
51313431341232221
635233334435332
73454026034250
oct574031073750
9155587028582
1051009320936
111a6a6482892
129a76b02b48
134a6bbc1652
14267c7c6960
1514d82b7d0b
hexbe06477e8

51009320936 has 128 divisors (see below), whose sum is σ = 112867776000. Its totient is φ = 21162885120.

The previous prime is 51009320821. The next prime is 51009320941. The reversal of 51009320936 is 63902390015.

It is a self number, because there is not a number n which added to its sum of digits gives 51009320936.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85157165 + ... + 85157763.

It is an arithmetic number, because the mean of its divisors is an integer number (881779500).

Almost surely, 251009320936 is an apocalyptic number.

51009320936 is a gapful number since it is divisible by the number (56) 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 51009320936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56433888000).

51009320936 is an abundant number, since it is smaller than the sum of its proper divisors (61858455064).

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

51009320936 is a wasteful number, since it uses less digits than its factorization.

51009320936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 38.

The spelling of 51009320936 in words is "fifty-one billion, nine million, three hundred twenty thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 61 97 122 194 244 257 388 427 488 514 599 679 776 854 1028 1198 1358 1708 1799 2056 2396 2716 3416 3598 4193 4792 5432 5917 7196 8386 11834 14392 15677 16772 23668 24929 31354 33544 36539 41419 47336 49858 58103 62708 73078 82838 99716 109739 116206 125416 146156 153943 165676 174503 199432 219478 232412 255773 292312 307886 331352 349006 406721 438956 464824 511546 615772 698012 813442 877912 1023092 1077601 1231544 1396024 1520669 1626884 2046184 2155202 3041338 3253768 3544283 4310404 6082676 7088566 8620808 9390523 10644683 12165352 14177132 14932471 18781046 21289366 24809981 28354264 29864942 37562092 42578732 49619962 59729884 65733661 75124184 85157464 99239924 104527297 119459768 131467322 198479848 209054594 262934644 418109188 525869288 836218376 910880731 1821761462 3643522924 6376165117 7287045848 12752330234 25504660468 51009320936