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51017201620 = 225721117278387
BaseRepresentation
bin101111100000110111…
…001011011111010100
311212200110212100220221
4233200313023133110
51313440400422440
635234215404124
73454153026100
oct574067133724
9155613770827
1051017201620
111a6aa975750
129a79683644
134a70720688
14267d878900
1514d8d22d4a
hexbe0dcb7d4

51017201620 has 144 divisors (see below), whose sum is σ = 143955548352. Its totient is φ = 14966031360.

The previous prime is 51017201617. The next prime is 51017201629. The reversal of 51017201620 is 2610271015.

It is a super-2 number, since 2×510172016202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51017201629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44067 + ... + 322453.

It is an arithmetic number, because the mean of its divisors is an integer number (999691308).

Almost surely, 251017201620 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 51017201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71977774176).

51017201620 is an abundant number, since it is smaller than the sum of its proper divisors (92938346732).

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

51017201620 is a wasteful number, since it uses less digits than its factorization.

51017201620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278438 (or 278429 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 51017201620 its reverse (2610271015), we get a palindrome (53627472635).

The spelling of 51017201620 in words is "fifty-one billion, seventeen million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 49 55 68 70 77 85 98 110 119 140 154 170 187 196 220 238 245 308 340 374 385 476 490 539 595 748 770 833 935 980 1078 1190 1309 1540 1666 1870 2156 2380 2618 2695 3332 3740 4165 5236 5390 6545 8330 9163 10780 13090 16660 18326 26180 36652 45815 91630 183260 278387 556774 1113548 1391935 1948709 2783870 3062257 3897418 4732579 5567740 6124514 7794836 9465158 9743545 12249028 13640963 15311285 18930316 19487090 21435799 23662895 27281926 30622570 33128053 38974180 42871598 47325790 52058369 54563852 61245140 66256106 68204815 85743196 94651580 104116738 107178995 132512212 136409630 150050593 165640265 208233476 214357990 231896371 260291845 272819260 300101186 331280530 364408583 428715980 463792742 520583690 600202372 662561060 728817166 750252965 927585484 1041167380 1159481855 1457634332 1500505930 1822042915 2318963710 2550860081 3001011860 3644085830 4637927420 5101720162 7288171660 10203440324 12754300405 25508600810 51017201620