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5420127834 = 23211191638839
BaseRepresentation
bin1010000110001000…
…01001011001011010
3111222201221000121100
411003010021121122
542100023042314
62253500052230
7251213216652
oct50304113132
914881830540
105420127834
1123315802a0
121073234076
13684bc9844
14395bc5362
1521ac93c09
hex14310965a

5420127834 has 96 divisors (see below), whose sum is σ = 13569753600. Its totient is φ = 1546296480.

The previous prime is 5420127809. The next prime is 5420127847. The reversal of 5420127834 is 4387210245.

It is a happy number.

5420127834 is a `hidden beast` number, since 542 + 0 + 12 + 78 + 34 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608787 + ... + 617625.

It is an arithmetic number, because the mean of its divisors is an integer number (141351600).

Almost surely, 25420127834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420127834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784876800).

5420127834 is an abundant number, since it is smaller than the sum of its proper divisors (8149625766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5420127834 is a wasteful number, since it uses less digits than its factorization.

5420127834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5420127834 is about 73621.5174660235. The cubic root of 5420127834 is about 1756.5877233292.

The spelling of 5420127834 in words is "five billion, four hundred twenty million, one hundred twenty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 163 171 198 209 326 342 418 489 627 978 1254 1467 1793 1881 2934 3097 3586 3762 5379 6194 8839 9291 10758 16137 17678 18582 26517 27873 32274 34067 53034 55746 68134 79551 97229 102201 159102 167941 194458 204402 291687 306603 335882 503823 583374 613206 875061 1007646 1440757 1511469 1750122 1847351 2881514 3022938 3694702 4322271 5542053 8644542 11084106 12966813 15848327 16626159 25933626 27374383 31696654 33252318 47544981 54748766 82123149 95089962 142634943 164246298 246369447 285269886 301118213 492738894 602236426 903354639 1806709278 2710063917 5420127834