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5078557696 = 2101721312
BaseRepresentation
bin1001011101011010…
…01010010000000000
3111002221012110110111
410232231022100000
540400102321241
62155535041104
7236565012442
oct45655122000
914087173414
105078557696
112176793623
12b98970194
1362c205634
143626b0492
151eacc2c81
hex12eb4a400

5078557696 has 99 divisors (see below), whose sum is σ = 10867422697. Its totient is φ = 2371665920.

The previous prime is 5078557669. The next prime is 5078557717. The reversal of 5078557696 is 6967558705.

The square root of 5078557696 is 71264.

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

It can be written as a sum of positive squares in only one way, i.e., 3953894400 + 1124663296 = 62880^2 + 33536^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5078557696.

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, 38767551 + ... + 38767681.

Almost surely, 25078557696 is an apocalyptic number.

5078557696 is the 71264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5078557696

5078557696 is an abundant number, since it is smaller than the sum of its proper divisors (5788865001).

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

5078557696 is an equidigital number, since it uses as much as digits as its factorization.

5078557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 58.

The cubic root of 5078557696 is about 1718.8849018858.

The spelling of 5078557696 in words is "five billion, seventy-eight million, five hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 256 262 272 289 512 524 544 578 1024 1048 1088 1156 2096 2176 2227 2312 4192 4352 4454 4624 8384 8704 8908 9248 16768 17161 17408 17816 18496 33536 34322 35632 36992 37859 67072 68644 71264 73984 75718 134144 137288 142528 147968 151436 274576 285056 291737 295936 302872 549152 570112 583474 605744 1098304 1140224 1166948 1211488 2196608 2280448 2333896 2422976 4393216 4667792 4845952 4959529 8786432 9335584 9691904 9919058 17572864 18671168 19383808 19838116 37342336 38767616 39676232 74684672 79352464 149369344 158704928 298738688 317409856 634819712 1269639424 2539278848 5078557696