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52527078144 = 283233196869
BaseRepresentation
bin110000111010110110…
…111001101100000000
312000120200222001010200
4300322312321230000
51330033413000034
640044113325200
73536445540342
oct607266715400
9160520861120
1052527078144
1120305191292
12a21b266800
134c51490238
1427841cd292
15157666da99
hexc3adb9b00

52527078144 has 108 divisors (see below), whose sum is σ = 151516201200. Its totient is φ = 17501202432.

The previous prime is 52527078103. The next prime is 52527078167. The reversal of 52527078144 is 44187072525.

52527078144 is a `hidden beast` number, since 5 + 2 + 527 + 0 + 7 + 81 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52527078144.

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 11 ways as a sum of consecutive naturals, for example, 7643542 + ... + 7650410.

Almost surely, 252527078144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52527078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75758100600).

52527078144 is an abundant number, since it is smaller than the sum of its proper divisors (98989123056).

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

52527078144 is a wasteful number, since it uses less digits than its factorization.

52527078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 52527078144 in words is "fifty-two billion, five hundred twenty-seven million, seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3319 6638 6869 9957 13276 13738 19914 20607 26552 27476 29871 39828 41214 53104 54952 59742 61821 79656 82428 106208 109904 119484 123642 159312 164856 212416 219808 238968 247284 318624 329712 424832 439616 477936 494568 637248 659424 849664 879232 955872 989136 1274496 1318848 1758464 1911744 1978272 2548992 2637696 3823488 3956544 5275392 7646976 7913088 15826176 22798211 45596422 68394633 91192844 136789266 182385688 205183899 273578532 364771376 410367798 547157064 729542752 820735596 1094314128 1459085504 1641471192 2188628256 2918171008 3282942384 4377256512 5836342016 6565884768 8754513024 13131769536 17509026048 26263539072 52527078144