Search a number
-
+
4752114173244 = 22321973223426779
BaseRepresentation
bin100010100100111000000…
…0100111100010100111100
3121211022001000012101202200
41011021300010330110330
51110324312212020434
614035031402551500
71000220550666564
oct105116004742474
917738030171680
104752114173244
1115723a6621a29
12648ba9508590
13286179016479
14126009a6dda4
158393031e199
hex4527013c53c

4752114173244 has 144 divisors (see below), whose sum is σ = 12875235609600. Its totient is φ = 1473469823232.

The previous prime is 4752114173203. The next prime is 4752114173273. The reversal of 4752114173244 is 4423714112574.

4752114173244 is a `hidden beast` number, since 4 + 7 + 521 + 14 + 1 + 73 + 2 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4752114173244.

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, 10921447 + ... + 11348225.

It is an arithmetic number, because the mean of its divisors is an integer number (89411358400).

Almost surely, 24752114173244 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 4752114173244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437617804800).

4752114173244 is an abundant number, since it is smaller than the sum of its proper divisors (8123121436356).

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

4752114173244 is a wasteful number, since it uses less digits than its factorization.

4752114173244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427104 (or 427099 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 4752114173244 in words is "four trillion, seven hundred fifty-two billion, one hundred fourteen million, one hundred seventy-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 219 223 228 292 342 438 446 657 669 684 876 892 1314 1338 1387 2007 2628 2676 2774 4014 4161 4237 5548 8028 8322 8474 12483 12711 16279 16644 16948 24966 25422 32558 38133 48837 49932 50844 65116 76266 97674 146511 152532 195348 293022 309301 426779 586044 618602 853558 927903 1237204 1280337 1707116 1855806 2560674 2783709 3711612 3841011 5121348 5567418 7682022 8108801 11134836 15364044 16217602 24326403 31154867 32435204 48652806 62309734 72979209 93464601 95171717 97305612 124619468 145958418 186929202 190343434 280393803 285515151 291916836 373858404 380686868 560787606 571030302 591942473 856545453 1121575212 1142060604 1183884946 1713090906 1775827419 1808262623 2367769892 3426181812 3551654838 3616525246 5327482257 5424787869 6947535341 7103309676 7233050492 10654964514 10849575738 13895070682 16274363607 20842606023 21309929028 21699151476 27790141364 32548727214 41685212046 62527818069 65097454428 83370424092 125055636138 132003171479 250111272276 264006342958 396009514437 528012685916 792019028874 1188028543311 1584038057748 2376057086622 4752114173244