Search a number
-
+
248303151081 = 39191574229
BaseRepresentation
bin1110011101000000000…
…1010110011111101001
3212201220200012000000000
43213100001112133221
513032011101313311
6310022514133213
723640116650236
oct3472001263751
9781820160000
10248303151081
1196339723577
1240158281209
131a55167698b
14c03730a78d
1566d3d89056
hex39d00567e9

248303151081 has 80 divisors (see below), whose sum is σ = 394641403200. Its totient is φ = 155787323328.

The previous prime is 248303151073. The next prime is 248303151113. The reversal of 248303151081 is 180151303842.

248303151081 is a `hidden beast` number, since 2 + 4 + 8 + 30 + 31 + 510 + 81 = 666.

248303151081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248303151081 - 23 = 248303151073 is a prime.

It is a super-2 number, since 2×2483031510812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248303151781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58712275 + ... + 58716503.

It is an arithmetic number, because the mean of its divisors is an integer number (4933017540).

Almost surely, 2248303151081 is an apocalyptic number.

It is an amenable number.

248303151081 is a deficient number, since it is larger than the sum of its proper divisors (146338252119).

248303151081 is an frugal number, since it uses more digits than its factorization.

248303151081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 248303151081 in words is "two hundred forty-eight billion, three hundred three million, one hundred fifty-one thousand, eighty-one".

Divisors: 1 3 9 19 27 57 81 157 171 243 471 513 729 1413 1539 2187 2983 4229 4239 4617 6561 8949 12687 12717 13851 19683 26847 38061 38151 41553 80351 80541 114183 114453 124659 241053 241623 342549 343359 373977 663953 723159 724869 1027647 1030077 1991859 2169477 2174607 3082941 3090231 5975577 6508431 6523821 9248823 12615107 17926731 19525293 19571463 27746469 37845321 53780193 58575879 58714389 83239407 113535963 161340579 175727637 340607889 484021737 527182911 1021823667 1452065211 1581548733 3065471001 4356195633 9196413003 13068586899 27589239009 82767717027 248303151081