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5198240637 = 331741281983
BaseRepresentation
bin1001101011101011…
…01101101101111101
3111102021101222121000
410311311231231331
541121222200022
62215452200513
7242550213342
oct46565555575
914367358530
105198240637
1122282a9147
121010a69139
1364ac4b145
143745467c9
152065646ac
hex135d6db7d

5198240637 has 64 divisors (see below), whose sum is σ = 8391237120. Its totient is φ = 3167539200.

The previous prime is 5198240617. The next prime is 5198240639. The reversal of 5198240637 is 7360428915.

5198240637 is a `hidden beast` number, since 5 + 1 + 9 + 8 + 2 + 4 + 0 + 637 = 666.

5198240637 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-5198240637 is a prime.

5198240637 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5198240592 and 5198240601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5198240639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5287648 + ... + 5288630.

It is an arithmetic number, because the mean of its divisors is an integer number (131113080).

It is a 1-persistent number, because it is pandigital, but 2⋅5198240637 = 10396481274 is not.

Almost surely, 25198240637 is an apocalyptic number.

It is an amenable number.

5198240637 is a deficient number, since it is larger than the sum of its proper divisors (3192996483).

5198240637 is a wasteful number, since it uses less digits than its factorization.

5198240637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5198240637 is about 72098.8254897401. The cubic root of 5198240637 is about 1732.2828003045.

The spelling of 5198240637 in words is "five billion, one hundred ninety-eight million, two hundred forty thousand, six hundred thirty-seven".

Divisors: 1 3 9 17 27 41 51 123 153 281 369 459 697 843 983 1107 2091 2529 2949 4777 6273 7587 8847 11521 14331 16711 18819 26541 34563 40303 42993 50133 103689 120909 128979 150399 195857 276223 311067 362727 451197 587571 685151 828669 1088181 1762713 2055453 2486007 4695791 5288139 6166359 7458021 11325143 14087373 18499077 33975429 42262119 101926287 126786357 192527431 305778861 577582293 1732746879 5198240637