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65106628050 = 235217211313291
BaseRepresentation
bin111100101000101010…
…000100110111010010
320020001101121101111110
4330220222010313102
52031314244044200
645524244554150
74463255131062
oct745052046722
9206041541443
1065106628050
112567aaa3322
12107500b2956
1361a77103a9
143218b8d3a2
151a60c1cb50
hexf28a84dd2

65106628050 has 144 divisors (see below), whose sum is σ = 173051950752. Its totient is φ = 16194662400.

The previous prime is 65106628043. The next prime is 65106628051. The reversal of 65106628050 is 5082660156.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65106628051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4891905 + ... + 4905195.

It is an arithmetic number, because the mean of its divisors is an integer number (1201749658).

Almost surely, 265106628050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65106628050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86525975376).

65106628050 is an abundant number, since it is smaller than the sum of its proper divisors (107945322702).

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

65106628050 is a wasteful number, since it uses less digits than its factorization.

65106628050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 65106628050 in words is "sixty-five billion, one hundred six million, six hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 113 150 170 226 255 289 339 425 510 565 578 678 850 867 1130 1275 1445 1695 1734 1921 2550 2825 2890 3390 3842 4335 5650 5763 7225 8475 8670 9605 11526 13291 14450 16950 19210 21675 26582 28815 32657 39873 43350 48025 57630 65314 66455 79746 96050 97971 132910 144075 163285 195942 199365 225947 288150 326570 332275 398730 451894 489855 664550 677841 816425 979710 996825 1129735 1355682 1501883 1632850 1993650 2259470 2449275 3003766 3389205 3841099 4505649 4898550 5648675 6778410 7509415 7682198 9011298 11297350 11523297 15018830 16946025 19205495 22528245 23046594 25532011 33892050 37547075 38410990 45056490 51064022 57616485 75094150 76596033 96027475 112641225 115232970 127660055 153192066 192054950 225282450 255320110 288082425 382980165 434044187 576164850 638300275 765960330 868088374 1276600550 1302132561 1914900825 2170220935 2604265122 3829801650 4340441870 6510662805 10851104675 13021325610 21702209350 32553314025 65106628050