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52168387216 = 241122921792
BaseRepresentation
bin110000100101011110…
…100110101010010000
311222122201000122200111
4300211132212222100
51323320101342331
635544341331104
73524531655241
oct604536465220
9158581018614
1052168387216
1120140770500
12a13b106a94
134bc508329a
14274c6dccc8
151554e19db1
hexc257a6a90

52168387216 has 135 divisors (see below), whose sum is σ = 115709896393. Its totient is φ = 22767310720.

The previous prime is 52168387211. The next prime is 52168387223. The reversal of 52168387216 is 61278386125.

It is a happy number.

The square root of 52168387216 is 228404.

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., 27355836816 + 24812550400 = 165396^2 + 157520^2 .

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 52168387216.

It is not an unprimeable number, because it can be changed into a prime (52168387211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 291443415 + ... + 291443593.

Almost surely, 252168387216 is an apocalyptic number.

52168387216 is the 228404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52168387216

52168387216 is an abundant number, since it is smaller than the sum of its proper divisors (63541509177).

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

52168387216 is a wasteful number, since it uses less digits than its factorization.

52168387216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 221 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 52168387216 by its sum of digits (49), we get a square (2556250973584 = 15988282).

The spelling of 52168387216 in words is "fifty-two billion, one hundred sixty-eight million, three hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 179 232 242 319 358 464 484 638 716 841 968 1276 1432 1682 1936 1969 2552 2864 3364 3509 3938 5104 5191 6728 7018 7876 9251 10382 13456 14036 15752 18502 20764 21659 28072 31504 32041 37004 41528 43318 56144 57101 64082 74008 83056 86636 101761 114202 128164 148016 150539 173272 203522 228404 256328 301078 346544 352451 407044 456808 512656 602156 628111 704902 814088 913616 929189 1204312 1256222 1409804 1628176 1655929 1858378 2408624 2512444 2819608 3311858 3716756 3876961 5024888 5639216 6623716 7433512 7753922 10049776 10221079 13247432 14867024 15507844 18215219 20442158 26494864 26946481 31015688 36430438 40884316 53892962 62031376 72860876 81768632 107785924 112431869 145721752 163537264 215571848 224863738 291443504 296411291 431143696 449727476 592822582 899454952 1185645164 1798909904 2371290328 3260524201 4742580656 6521048402 13042096804 26084193608 52168387216