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5138826735 = 357219532131
BaseRepresentation
bin1001100100100110…
…00100010111101111
3111021010121110001010
410302103010113233
541011014423420
62205530520303
7241226210100
oct46223042757
914233543033
105138826735
1121a7808649
12bb4b96093
1363b847ba3
1436a6bc3a7
1520122a4e0
hex1324c45ef

5138826735 has 144 divisors (see below), whose sum is σ = 10339781760. Its totient is φ = 2166877440.

The previous prime is 5138826731. The next prime is 5138826779. The reversal of 5138826735 is 5376288315.

It is not a de Polignac number, because 5138826735 - 22 = 5138826731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138826731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39227620 + ... + 39227750.

It is an arithmetic number, because the mean of its divisors is an integer number (71804040).

Almost surely, 25138826735 is an apocalyptic number.

5138826735 is an abundant number, since it is smaller than the sum of its proper divisors (5200955025).

5138826735 is a wasteful number, since it uses less digits than its factorization.

5138826735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 218 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 5138826735 is about 71685.6103761417. The cubic root of 5138826735 is about 1725.6577185234.

The spelling of 5138826735 in words is "five billion, one hundred thirty-eight million, eight hundred twenty-six thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 35 49 53 57 95 105 131 133 147 159 245 265 285 371 393 399 655 665 735 795 917 931 1007 1113 1855 1965 1995 2489 2597 2751 2793 2809 3021 4585 4655 5035 5565 6419 6943 7049 7467 7791 8427 12445 12985 13755 13965 14045 15105 17423 19257 19663 20829 21147 32095 34715 35245 37335 38955 42135 48601 49343 52269 53371 58989 87115 96285 98315 104145 105735 121961 131917 137641 145803 148029 160113 243005 246715 261345 266855 294945 340207 365883 367979 373597 395751 412923 609805 659585 688205 729015 740145 800565 923419 1020621 1103937 1120791 1701035 1829415 1839895 1867985 1978755 2064615 2575853 2615179 2770257 4617095 5103105 5519685 5603955 6463933 6991601 7727559 7845537 12879265 13075895 13851285 18030971 19391799 20974803 32319665 34958005 38637795 39227685 48941207 54092913 90154855 96958995 104874015 146823621 244706035 270464565 342588449 734118105 1027765347 1712942245 5138826735