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215132702976 = 283432212
BaseRepresentation
bin1100100001011011101…
…0001000100100000000
3202120021222010122110000
43020112322020210000
512011042432443401
6242455224240000
721354121542402
oct3102672104400
9676258118400
10215132702976
11832678909a4
123583b610000
13173964bc0a9
14a5abbaab72
1558e1c4d186
hex3216e88900

215132702976 has 135 divisors (see below), whose sum is σ = 641686013353. Its totient is φ = 71688637440.

The previous prime is 215132702971. The next prime is 215132702987. The reversal of 215132702976 is 679207231512.

It is a happy number.

The square root of 215132702976 is 463824.

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

215132702976 is a `hidden beast` number, since 21 + 513 + 27 + 0 + 2 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165955205376 + 49177497600 = 407376^2 + 221760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215132702971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 66789046 + ... + 66792266.

Almost surely, 2215132702976 is an apocalyptic number.

215132702976 is the 463824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215132702976

215132702976 is an abundant number, since it is smaller than the sum of its proper divisors (426553310377).

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

215132702976 is an frugal number, since it uses more digits than its factorization.

215132702976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 215132702976 in words is "two hundred fifteen billion, one hundred thirty-two million, seven hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3221 3456 5184 6442 6912 9663 10368 12884 19326 20736 25768 28989 38652 51536 57978 77304 86967 103072 115956 154608 173934 206144 231912 260901 309216 347868 412288 463824 521802 618432 695736 824576 927648 1043604 1236864 1391472 1855296 2087208 2473728 2782944 3710592 4174416 5565888 7421184 8348832 10374841 11131776 16697664 20749682 22263552 31124523 33395328 41499364 62249046 66790656 82998728 93373569 124498092 165997456 186747138 248996184 280120707 331994912 373494276 497992368 560241414 663989824 746988552 840362121 995984736 1120482828 1327979648 1493977104 1680724242 1991969472 2240965656 2655959296 2987954208 3361448484 3983938944 4481931312 5975908416 6722896968 7967877888 8963862624 11951816832 13445793936 17927725248 23903633664 26891587872 35855450496 53783175744 71710900992 107566351488 215132702976