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2016720058100 = 2252114159757909
BaseRepresentation
bin11101010110001101111…
…000011111011011110100
321010210111200120210210012
4131112031320133123310
5231020220313324400
64142245101515352
7265463126440106
oct35261570373364
97123450523705
102016720058100
11708316995a20
12286a2b572b58
13118239560687
146d8772db576
15376d5d08d35
hex1d58de1f6f4

2016720058100 has 144 divisors (see below), whose sum is σ = 4973466052800. Its totient is φ = 703338624000.

The previous prime is 2016720058091. The next prime is 2016720058127. The reversal of 2016720058100 is 18500276102.

It is a super-2 number, since 2×20167200581002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281946 + ... + 3039854.

It is an arithmetic number, because the mean of its divisors is an integer number (34537958700).

Almost surely, 22016720058100 is an apocalyptic number.

2016720058100 is a gapful number since it is divisible by the number (20) 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 2016720058100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486733026400).

2016720058100 is an abundant number, since it is smaller than the sum of its proper divisors (2956745994700).

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

2016720058100 is a wasteful number, since it uses less digits than its factorization.

2016720058100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758034 (or 758027 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 2016720058100 in words is "two trillion, sixteen billion, seven hundred twenty million, fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 59 82 100 110 118 164 205 220 236 275 295 410 451 550 590 649 820 902 1025 1100 1180 1298 1475 1804 2050 2255 2419 2596 2950 3245 4100 4510 4838 5900 6490 9020 9676 11275 12095 12980 16225 22550 24190 26609 32450 45100 48380 53218 60475 64900 106436 120950 133045 241900 266090 532180 665225 757909 1330450 1515818 2660900 3031636 3789545 7579090 8336999 15158180 16673998 18947725 31074269 33347996 37895450 41684995 44716631 62148538 75790900 83369990 89433262 124297076 155371345 166739980 178866524 208424975 223583155 310742690 341816959 416849950 447166310 491882941 621485380 683633918 776856725 833699900 894332620 983765882 1117915775 1367267836 1553713450 1709084795 1833381871 1967531764 2235831550 2459414705 3107426900 3418169590 3666763742 4471663100 4918829410 6836339180 7333527484 8545423975 9166909355 9837658820 12297073525 17090847950 18333818710 20167200581 24594147050 34181695900 36667637420 40334401162 45834546775 49188294100 80668802324 91669093550 100836002905 183338187100 201672005810 403344011620 504180014525 1008360029050 2016720058100