Search a number
-
+
1205424574172 = 2271322235632029
BaseRepresentation
bin10001100010101000111…
…001110100111011011100
311021020102010000000210222
4101202220321310323130
5124222202142333142
62321433040020512
7153042354552050
oct21425071647334
94236363000728
101205424574172
11425243823a45
12175752301738
13898953b0300
14424b2b49c60
152155105bbd2
hex118a8e74edc

1205424574172 has 144 divisors (see below), whose sum is σ = 2628223395840. Its totient is φ = 473656045824.

The previous prime is 1205424574169. The next prime is 1205424574187. The reversal of 1205424574172 is 2714754245021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594096854 + ... + 594098882.

It is an arithmetic number, because the mean of its divisors is an integer number (18251551360).

Almost surely, 21205424574172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205424574172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314111697920).

1205424574172 is an abundant number, since it is smaller than the sum of its proper divisors (1422798821668).

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

1205424574172 is a wasteful number, since it uses less digits than its factorization.

1205424574172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 1205424574172 in words is "one trillion, two hundred five billion, four hundred twenty-four million, five hundred seventy-four thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 223 338 364 446 563 676 892 1126 1183 1561 2029 2252 2366 2899 3122 3941 4058 4732 5798 6244 7319 7882 8116 11596 14203 14638 15764 20293 26377 28406 29276 37687 40586 51233 52754 56812 75374 81172 95147 102466 105508 125549 150748 184639 190294 204932 251098 263809 342901 369278 380588 452467 502196 527618 666029 685802 738556 878843 904934 1055236 1142327 1332058 1371604 1632137 1757686 1809868 2284654 2400307 2664116 3167269 3264274 3515372 4569308 4800614 5882071 6334538 6528548 7996289 9601228 11424959 11764142 12669076 14850251 15992578 21217781 22849918 23528284 29700502 31985156 41174497 42435562 45699836 59401004 76466923 82348994 84871124 103951757 148524467 152933846 164697988 193053263 207903514 254738921 297048934 305867692 386106526 415807028 509477842 535268461 594097868 772213052 1018955684 1070536922 1351372841 1783172447 2141073844 2702745682 3311605973 3566344894 5405491364 6623211946 7132689788 13246423892 23181241811 43050877649 46362483622 86101755298 92724967244 172203510596 301356143543 602712287086 1205424574172