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472775088036320 = 255137179571201103
BaseRepresentation
bin110101101111111001000011…
…1001011100101100111100000
32021222221212010202121121012122
41223133302013023211213200
5443431421340014130240
64353301513242043412
7201403605261460646
oct15337620713454740
92258855122547178
10472775088036320
11127705874a80263
1245036b904a9568
13173a5665544174
1484a66174d7196
15399ce71d114b5
hex1adfc872e59e0

472775088036320 has 96 divisors (see below), whose sum is σ = 1125147518667648. Its totient is φ = 187719059304448.

The previous prime is 472775088036287. The next prime is 472775088036341. The reversal of 472775088036320 is 23630880577274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393016889 + ... + 394217991.

It is an arithmetic number, because the mean of its divisors is an integer number (11720286652788).

Almost surely, 2472775088036320 is an apocalyptic number.

472775088036320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472775088036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562573759333824).

472775088036320 is an abundant number, since it is smaller than the sum of its proper divisors (652372430631328).

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

472775088036320 is a wasteful number, since it uses less digits than its factorization.

472775088036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219212 (or 1219204 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 62.

The spelling of 472775088036320 in words is "four hundred seventy-two trillion, seven hundred seventy-five billion, eighty-eight million, thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 17957 21920 35914 71828 89785 143656 179570 287312 359140 574624 718280 1201103 1436560 2402206 2460109 2873120 4804412 4920218 6005515 9608824 9840436 12011030 12300545 19217648 19680872 24022060 24601090 38435296 39361744 48044120 49202180 78723488 96088240 98404360 164551111 192176480 196808720 329102222 393617440 658204444 822755555 1316408888 1645511110 2632817776 3291022220 5265635552 6582044440 13164088880 21568206571 26328177760 43136413142 86272826284 107841032855 172545652568 215682065710 345091305136 431364131420 690182610272 862728262840 1725456525680 2954844300227 3450913051360 5909688600454 11819377200908 14774221501135 23638754401816 29548443002270 47277508803632 59096886004540 94555017607264 118193772009080 236387544018160 472775088036320