Search a number
-
+
166204007184 = 243471992391549
BaseRepresentation
bin1001101011001010000…
…1111110001100010000
3120220000001011100220210
42122302201332030100
510210341211212214
6204204132404120
715002455515465
oct2326241761420
9526001140823
10166204007184
1164539913626
1228265476640
13128996938a7
14808986966c
1544cb471b59
hex26b287e310

166204007184 has 160 divisors (see below), whose sum is σ = 442828800000. Its totient is φ = 53689692672.

The previous prime is 166204007183. The next prime is 166204007201. The reversal of 166204007184 is 481700402661.

It is not an unprimeable number, because it can be changed into a prime (166204007183) 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 31 ways as a sum of consecutive naturals, for example, 107296842 + ... + 107298390.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680000).

Almost surely, 2166204007184 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 166204007184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221414400000).

166204007184 is an abundant number, since it is smaller than the sum of its proper divisors (276624792816).

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

166204007184 is a wasteful number, since it uses less digits than its factorization.

166204007184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 166204007184 in words is "one hundred sixty-six billion, two hundred four million, seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 199 239 282 376 398 478 564 597 717 752 796 956 1128 1194 1434 1549 1592 1912 2256 2388 2868 3098 3184 3824 4647 4776 5736 6196 9294 9353 9552 11233 11472 12392 18588 18706 22466 24784 28059 33699 37176 37412 44932 47561 56118 67398 72803 74352 74824 89864 95122 112236 134796 142683 145606 149648 179728 190244 218409 224472 269592 285366 291212 308251 370211 380488 436818 448944 539184 570732 582424 616502 740422 760976 873636 924753 1110633 1141464 1164848 1233004 1480844 1747272 1849506 2221266 2235367 2282928 2466008 2961688 3494544 3699012 4442532 4470734 4932016 5923376 6706101 7398024 8885064 8941468 13412202 14487797 14796048 17399917 17770128 17882936 26824404 28975594 34799834 35765872 43463391 52199751 53648808 57951188 69599668 73671989 86926782 104399502 107297616 115902376 139199336 147343978 173853564 208799004 221015967 231804752 278398672 294687956 347707128 417598008 442031934 589375912 695414256 835196016 884063868 1178751824 1768127736 3462583483 3536255472 6925166966 10387750449 13850333932 20775500898 27700667864 41551001796 55401335728 83102003592 166204007184