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48780813249 = 3372101365063
BaseRepresentation
bin101101011011100100…
…000010001111000001
311122220121201001211000
4231123210002033001
51244400342010444
634224250042213
73344556033300
oct553344021701
9148817631730
1048780813249
1119762551aa3
129554719369
1347a52bb34c
14250a848437
151407819469
hexb5b9023c1

48780813249 has 48 divisors (see below), whose sum is σ = 84899283840. Its totient is φ = 27598687200.

The previous prime is 48780813241. The next prime is 48780813281. The reversal of 48780813249 is 94231808784.

It is a happy number.

48780813249 is a `hidden beast` number, since 487 + 80 + 81 + 3 + 2 + 4 + 9 = 666.

It is not a de Polignac number, because 48780813249 - 23 = 48780813241 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48780813195 and 48780813204.

It is not an unprimeable number, because it can be changed into a prime (48780813241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48909 + ... + 316154.

It is an arithmetic number, because the mean of its divisors is an integer number (1768735080).

Almost surely, 248780813249 is an apocalyptic number.

48780813249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

48780813249 is a deficient number, since it is larger than the sum of its proper divisors (36118470591).

48780813249 is a wasteful number, since it uses less digits than its factorization.

48780813249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365187 (or 365174 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48780813249 in words is "forty-eight billion, seven hundred eighty million, eight hundred thirteen thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 101 147 189 303 441 707 909 1323 2121 2727 4949 6363 14847 19089 44541 133623 365063 1095189 2555441 3285567 7666323 9856701 17888087 22998969 36871363 53664261 68996907 110614089 160992783 258099541 331842267 482978349 774298623 995526801 1806696787 2322895869 5420090361 6968687607 16260271083 48780813249