Search a number
-
+
5295925654020 = 22325317459127241
BaseRepresentation
bin100110100010000110111…
…0001000111001000000100
3200202021201011102221012100
41031010031301013020010
51143232023431412040
615132525322152100
71054421655214011
oct115041561071004
920667634387170
105295925654020
111761a97a70381
12716476952630
132c5532a70761
14144477740708
1592b5c371b30
hex4d10dc47204

5295925654020 has 144 divisors (see below), whose sum is σ = 16584864791040. Its totient is φ = 1366496524800.

The previous prime is 5295925654009. The next prime is 5295925654043. The reversal of 5295925654020 is 204565295925.

It is a happy number.

5295925654020 is a `hidden beast` number, since 5 + 2 + 9 + 5 + 92 + 5 + 6 + 540 + 2 + 0 = 666.

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, 41557600 + ... + 41684840.

It is an arithmetic number, because the mean of its divisors is an integer number (115172672160).

Almost surely, 25295925654020 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 5295925654020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292432395520).

5295925654020 is an abundant number, since it is smaller than the sum of its proper divisors (11288939137020).

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

5295925654020 is a wasteful number, since it uses less digits than its factorization.

5295925654020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134746 (or 134741 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 5295925654020 in words is "five trillion, two hundred ninety-five billion, nine hundred twenty-five million, six hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 7459 14918 22377 29836 37295 44754 67131 74590 89508 111885 127241 134262 149180 223770 231229 254482 268524 335655 381723 447540 462458 508964 636205 671310 693687 763446 924916 1145169 1156145 1272410 1342620 1387374 1526892 1908615 2081061 2290338 2312290 2544820 2774748 3468435 3817230 3944471 4162122 4580676 4624580 5725845 6936870 7634460 7888942 8324244 10405305 11451690 11833413 13873740 15777884 19722355 20810610 22903380 23666826 35500239 39444710 41621220 47333652 59167065 71000478 78889420 118334130 142000956 177501195 236668260 355002390 710004780 949090619 1898181238 2847271857 3796362476 4745453095 5694543714 8541815571 9490906190 11389087428 14236359285 17083631142 18981812380 28472718570 29421809189 34167262284 42709077855 56945437140 58843618378 85418155710 88265427567 117687236756 147109045945 170836311420 176530855134 264796282701 294218091890 353061710268 441327137835 529592565402 588436183780 882654275670 1059185130804 1323981413505 1765308551340 2647962827010 5295925654020