Search a number
-
+
185428416996 = 22344725092
BaseRepresentation
bin1010110010110001100…
…1010001100111100100
3122201121211021120110000
42230230121101213210
511014224133320441
6221103514301300
716253042352504
oct2545431214744
9581554246400
10185428416996
1171704564219
122bb2b727830
1314641484004
148d90b3ba04
154c540882b6
hex2b2c6519e4

185428416996 has 135 divisors (see below), whose sum is σ = 496254663289. Its totient is φ = 60375527712.

The previous prime is 185428416989. The next prime is 185428417019. The reversal of 185428416996 is 699614824581.

The square root of 185428416996 is 430614.

It is a perfect power (a square), and thus also a powerful number.

185428416996 is a `hidden beast` number, since 1 + 8 + 542 + 84 + 1 + 6 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150787762596 + 34640654400 = 388314^2 + 186120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 364299190 + ... + 364299698.

Almost surely, 2185428416996 is an apocalyptic number.

185428416996 is the 430614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185428416996

185428416996 is an abundant number, since it is smaller than the sum of its proper divisors (310826246293).

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

185428416996 is an frugal number, since it uses more digits than its factorization.

185428416996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 561 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 185428416996 in words is "one hundred eighty-five billion, four hundred twenty-eight million, four hundred sixteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 509 564 846 1018 1269 1527 1692 2036 2209 2538 3054 3807 4418 4581 5076 6108 6627 7614 8836 9162 13254 13743 15228 18324 19881 23923 26508 27486 39762 41229 47846 54972 59643 71769 79524 82458 95692 119286 143538 164916 178929 215307 238572 259081 287076 357858 430614 518162 645921 715716 777243 861228 1036324 1124381 1291842 1554486 1937763 2248762 2331729 2583684 3108972 3373143 3875526 4497524 4663458 6746286 6995187 7751052 9326916 10119429 12176807 13492572 13990374 20238858 20985561 24353614 27980748 30358287 36530421 40477716 41971122 48707228 60716574 73060842 83942244 91074861 109591263 121433148 146121684 182149722 219182526 328773789 364299444 438365052 572309929 657547578 986321367 1144619858 1315095156 1716929787 1972642734 2289239716 3433859574 3945285468 5150789361 6867719148 10301578722 15452368083 20603157444 30904736166 46357104249 61809472332 92714208498 185428416996