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60800268438 = 2357132105751
BaseRepresentation
bin111000100111111110…
…100111100010010110
312210221021102122200000
4320213332213202112
51444004332042223
643533052432130
74251454516560
oct704776474226
9183837378600
1060800268438
1123870191638
12b949a78646
13596c4a5300
142d2ac8c330
1518acb2e543
hexe27fa7896

60800268438 has 144 divisors (see below), whose sum is σ = 169064453376. Its totient is φ = 16035084000.

The previous prime is 60800268421. The next prime is 60800268461. The reversal of 60800268438 is 83486200806.

It is a happy number.

60800268438 is a `hidden beast` number, since 608 + 0 + 0 + 2 + 6 + 8 + 4 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 60800268393 and 60800268402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 522063 + ... + 627813.

It is an arithmetic number, because the mean of its divisors is an integer number (1174058704).

Almost surely, 260800268438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60800268438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84532226688).

60800268438 is an abundant number, since it is smaller than the sum of its proper divisors (108264184938).

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

60800268438 is a wasteful number, since it uses less digits than its factorization.

60800268438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105801 (or 105776 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 60800268438 in words is "sixty billion, eight hundred million, two hundred sixty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 169 182 189 234 243 273 338 351 378 486 507 546 567 702 819 1014 1053 1134 1183 1521 1638 1701 2106 2366 2457 3042 3159 3402 3549 4563 4914 6318 7098 7371 9126 10647 13689 14742 21294 22113 27378 31941 41067 44226 63882 82134 95823 105751 191646 211502 287469 317253 574938 634506 740257 951759 1374763 1480514 1903518 2220771 2749526 2855277 4124289 4441542 5710554 6662313 8248578 8565831 9623341 12372867 13324626 17131662 17871919 19246682 19986939 24745734 25697493 28870023 35743838 37118601 39973878 51394986 53615757 57740046 59960817 74237202 86610069 107231514 111355803 119921634 125103433 160847271 173220138 179882451 222711606 250206866 259830207 321694542 334067409 359764902 375310299 482541813 519660414 668134818 750620598 779490621 965083626 1125930897 1447625439 1558981242 2251861794 2338471863 2895250878 3377792691 4342876317 4676943726 6755585382 8685752634 10133378073 20266756146 30400134219 60800268438