Search a number
-
+
31477503200 = 25521113275153
BaseRepresentation
bin11101010100001101…
…001001010011100000
310000020201110211201212
4131110031021103200
51003431220100300
622243252045252
72163020235233
oct352415112340
9100221424655
1031477503200
1112393259060
126125903828
132c7850b650
14174877341a
15c436cc935
hex7543494e0

31477503200 has 144 divisors (see below), whose sum is σ = 90279128016. Its totient is φ = 10565836800.

The previous prime is 31477503193. The next prime is 31477503289. The reversal of 31477503200 is 230577413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23177 + ... + 251976.

It is an arithmetic number, because the mean of its divisors is an integer number (626938389).

Almost surely, 231477503200 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 31477503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45139564008).

31477503200 is an abundant number, since it is smaller than the sum of its proper divisors (58801624816).

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

31477503200 is a wasteful number, since it uses less digits than its factorization.

31477503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275197 (or 275184 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The spelling of 31477503200 in words is "thirty-one billion, four hundred seventy-seven million, five hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 57200 114400 275153 550306 1100612 1375765 2201224 2751530 3026683 3576989 4402448 5503060 6053366 6878825 7153978 8804896 11006120 12106732 13757650 14307956 15133415 17884945 22012240 24213464 27515300 28615912 30266830 35769890 39346879 44024480 48426928 55030600 57231824 60533660 71539780 75667075 78693758 89424725 96853856 110061200 114463648 121067320 143079560 151334150 157387516 178849450 196734395 220122400 242134640 286159120 302668300 314775032 357698900 393468790 484269280 572318240 605336600 629550064 715397800 786937580 983671975 1210673200 1259100128 1430795600 1573875160 1967343950 2421346400 2861591200 3147750320 3934687900 6295500640 7869375800 15738751600 31477503200