Search a number
-
+
51714398464 = 286122332
BaseRepresentation
bin110000001010011010…
…110001100100000000
311221111001202122012021
4300022122301210000
51321402341222324
635431323011224
73510350064001
oct601232614400
9157431678167
1051714398464
111aa2847aa93
12a033069b14
134b51cbaba1
1427082c31a8
15152a13eae4
hexc0a6b1900

51714398464 has 81 divisors (see below), whose sum is σ = 105399120099. Its totient is φ = 25324154880.

The previous prime is 51714398453. The next prime is 51714398501. The reversal of 51714398464 is 46489341715.

The square root of 51714398464 is 227408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32833440000 + 18880958464 = 181200^2 + 137408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221950092 + ... + 221950324.

Almost surely, 251714398464 is an apocalyptic number.

51714398464 is the 227408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51714398464

51714398464 is an abundant number, since it is smaller than the sum of its proper divisors (53684721635).

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

51714398464 is an frugal number, since it uses more digits than its factorization.

51714398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 296 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 51714398464 in words is "fifty-one billion, seven hundred fourteen million, three hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 233 244 256 466 488 932 976 1864 1952 3721 3728 3904 7442 7456 7808 14213 14884 14912 15616 28426 29768 29824 54289 56852 59536 59648 108578 113704 119072 217156 227408 238144 434312 454816 476288 866993 868624 909632 952576 1733986 1737248 1819264 3311629 3467972 3474496 3638528 6623258 6935944 6948992 13246516 13871888 13897984 26493032 27743776 52986064 55487552 105972128 110975104 202009369 211944256 221950208 404018738 423888512 808037476 847777024 1616074952 3232149904 6464299808 12928599616 25857199232 51714398464