Search a number
-
+
316563350313 = 372292572831021
BaseRepresentation
bin1001001101101001010…
…01010110001100101001
31010021002211210101220010
410212310221112030221
520141310204202223
6401232135122133
731604510036400
oct4466451261451
91107084711803
10316563350313
11112287838571
1251428513349
1323b0c51ab02
1411470c3a637
15837b883393
hex49b4a56329

316563350313 has 96 divisors (see below), whose sum is σ = 512206450560. Its totient is φ = 173191495680.

The previous prime is 316563350303. The next prime is 316563350329. The reversal of 316563350313 is 313053365613.

It is not a de Polignac number, because 316563350313 - 212 = 316563346217 is a prime.

It is a super-3 number, since 3×3165633503133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (316563350303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310051743 + ... + 310052763.

It is an arithmetic number, because the mean of its divisors is an integer number (5335483860).

Almost surely, 2316563350313 is an apocalyptic number.

It is an amenable number.

316563350313 is a deficient number, since it is larger than the sum of its proper divisors (195643100247).

316563350313 is a wasteful number, since it uses less digits than its factorization.

316563350313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 39.

The spelling of 316563350313 in words is "three hundred sixteen billion, five hundred sixty-three million, three hundred fifty thousand, three hundred thirteen".

Divisors: 1 3 7 21 29 49 87 147 203 257 283 609 771 849 1021 1421 1799 1981 3063 4263 5397 5943 7147 7453 8207 12593 13867 21441 22359 24621 29609 37779 41601 50029 52171 57449 72731 88827 150087 156513 172347 207263 218193 262397 288943 365197 402143 509117 621789 787191 866829 1095591 1206429 1450841 1527351 1836779 2022601 2109199 3563819 4352523 5510337 6067803 6327597 7609513 8379347 10691457 12857453 14158207 14764393 22828539 25138041 38572359 42474621 44293179 53266591 58655429 74258351 103350751 159799773 175966287 222775053 310052253 372866137 410588003 519808457 1118598411 1231764009 1559425371 2153492179 3638659199 6460476537 10915977597 15074445253 45223335759 105521116771 316563350313