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248955030414 = 2352111242659
BaseRepresentation
bin1110011111011011100…
…0000100101110001110
3212210121002210220100000
43213312320010232032
513034324441433124
6310211322145130
723662223562126
oct3476670045616
9783532726300
10248955030414
1196643696122
12402ba6521a6
131a6267381ac
14c099b19c86
1567212036c9
hex39f6e04b8e

248955030414 has 48 divisors (see below), whose sum is σ = 559647728640. Its totient is φ = 82945357560.

The previous prime is 248955030407. The next prime is 248955030439. The reversal of 248955030414 is 414030559842.

248955030414 is a `hidden beast` number, since 2 + 4 + 89 + 550 + 3 + 0 + 4 + 14 = 666.

It is a super-2 number, since 2×2489550304142 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248955030414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904617 + ... + 1147275.

It is an arithmetic number, because the mean of its divisors is an integer number (11659327680).

Almost surely, 2248955030414 is an apocalyptic number.

248955030414 is an abundant number, since it is smaller than the sum of its proper divisors (310692698226).

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

248955030414 is a wasteful number, since it uses less digits than its factorization.

248955030414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244787 (or 244775 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 248955030414 in words is "two hundred forty-eight billion, nine hundred fifty-five million, thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 2111 4222 6333 12666 18999 37998 56997 113994 170991 242659 341982 485318 512973 727977 1025946 1455954 2183931 4367862 6551793 13103586 19655379 39310758 58966137 117932274 512253149 1024506298 1536759447 3073518894 4610278341 9220556682 13830835023 27661670046 41492505069 82985010138 124477515207 248955030414