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248790542949 = 32135573817621
BaseRepresentation
bin1110011110110100010…
…0100110101001100101
3212210011122022001221200
43213231010212221211
513034010334333244
6310143124433113
723655155502624
oct3475504465145
9783148261850
10248790542949
1196569859273
1240273548799
131a5cb636030
14c081d3d6bb
156711a61669
hex39ed126a65

248790542949 has 24 divisors (see below), whose sum is σ = 387702419832. Its totient is φ = 152826963840.

The previous prime is 248790542893. The next prime is 248790542981. The reversal of 248790542949 is 949245097842.

248790542949 is a `hidden beast` number, since 2 + 4 + 87 + 9 + 0 + 542 + 9 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15518930625 + 233271612324 = 124575^2 + 482982^2 .

It is not a de Polignac number, because 248790542949 - 216 = 248790477413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248790542999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843642 + ... + 1973979.

It is an arithmetic number, because the mean of its divisors is an integer number (16154267493).

Almost surely, 2248790542949 is an apocalyptic number.

It is an amenable number.

248790542949 is a deficient number, since it is larger than the sum of its proper divisors (138911876883).

248790542949 is a wasteful number, since it uses less digits than its factorization.

248790542949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818197 (or 3818194 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 248790542949 in words is "two hundred forty-eight billion, seven hundred ninety million, five hundred forty-two thousand, nine hundred forty-nine".

Divisors: 1 3 9 13 39 117 557 1671 5013 7241 21723 65169 3817621 11452863 34358589 49629073 148887219 446661657 2126414897 6379244691 19137734073 27643393661 82930180983 248790542949