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5005061019 = 3272941109613
BaseRepresentation
bin1001010100101001…
…10010101110011011
3110220210220102222100
410222110302232123
540222243423034
62144351454443
7235013213430
oct45224625633
913823812870
105005061019
112139254472
12b78227423
13619c1138a
14356a1bb87
151e4606099
hex12a532b9b

5005061019 has 96 divisors (see below), whose sum is σ = 8850441600. Its totient is φ = 2664990720.

The previous prime is 5005060969. The next prime is 5005061057. The reversal of 5005061019 is 9101605005.

5005061019 is a `hidden beast` number, since 50 + 0 + 506 + 101 + 9 = 666.

It is not a de Polignac number, because 5005061019 - 219 = 5004536731 is a prime.

It is a super-2 number, since 2×50050610192 = 50101271607826636722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5005060983 and 5005061001.

It is not an unprimeable number, because it can be changed into a prime (5005061099) 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 95 ways as a sum of consecutive naturals, for example, 8164557 + ... + 8165169.

It is an arithmetic number, because the mean of its divisors is an integer number (92192100).

Almost surely, 25005061019 is an apocalyptic number.

5005061019 is a deficient number, since it is larger than the sum of its proper divisors (3845380581).

5005061019 is a wasteful number, since it uses less digits than its factorization.

5005061019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 5005061019 is about 70746.4558758953. The cubic root of 5005061019 is about 1710.5527001735.

The spelling of 5005061019 in words is "five billion, five million, sixty-one thousand, nineteen".

Divisors: 1 3 7 9 21 29 41 63 87 109 123 203 261 287 327 369 609 613 763 861 981 1189 1827 1839 2289 2583 3161 3567 4291 4469 5517 6867 8323 9483 10701 12873 13407 17777 22127 24969 25133 28449 31283 38619 40221 53331 66381 66817 74907 75399 93849 124439 129601 159993 175931 199143 200451 226197 281547 373317 388803 467719 527793 601353 728857 907207 1119951 1166409 1403157 1583379 1937693 2186571 2721621 2739497 4209471 5101999 5813079 6559713 8164863 8218491 13563851 15305997 17439237 19176479 24655473 40691553 45917991 57529437 79445413 122074659 172588311 238336239 556117891 715008717 1668353673 5005061019