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2052056262000 = 243531274326839
BaseRepresentation
bin11101110111001000000…
…101011010010101110000
321021011201022212221202210
4131313020011122111300
5232110102400341000
64210411315212120
7301153603300533
oct35671005322560
97234638787683
102052056262000
117212aa298a18
122918515a7040
1311b67b319b74
147146a322a1a
15385a314a350
hex1ddc815a570

2052056262000 has 160 divisors (see below), whose sum is σ = 6616595082240. Its totient is φ = 547151673600.

The previous prime is 2052056261999. The next prime is 2052056262043. The reversal of 2052056262000 is 2626502502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76444581 + ... + 76471419.

It is an arithmetic number, because the mean of its divisors is an integer number (41353719264).

Almost surely, 22052056262000 is an apocalyptic number.

2052056262000 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 2052056262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308297541120).

2052056262000 is an abundant number, since it is smaller than the sum of its proper divisors (4564538820240).

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

2052056262000 is a wasteful number, since it uses less digits than its factorization.

2052056262000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39608 (or 39592 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2052056262000 in words is "two trillion, fifty-two billion, fifty-six million, two hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 12743 25486 26839 38229 50972 53678 63715 76458 80517 101944 107356 127430 134195 152916 161034 191145 203888 214712 254860 268390 305832 318575 322068 382290 402585 429424 509720 536780 611664 637150 644136 670975 764580 805170 955725 1019440 1073560 1274300 1288272 1341950 1529160 1592875 1610340 1911450 2012925 2147120 2548600 2683900 3058320 3185750 3220680 3354875 3822900 4025850 4778625 5097200 5367800 6371500 6441360 6709750 7645800 8051700 9557250 10064625 10735600 12743000 13419500 15291600 16103400 19114500 20129250 25486000 26839000 32206800 38229000 40258500 53678000 76458000 80517000 161034000 342009377 684018754 1026028131 1368037508 1710046885 2052056262 2736075016 3420093770 4104112524 5130140655 5472150032 6840187540 8208225048 8550234425 10260281310 13680375080 16416450096 17100468850 20520562620 25650703275 27360750160 34200937700 41041125240 42751172125 51301406550 68401875400 82082250480 85502344250 102602813100 128253516375 136803750800 171004688500 205205626200 256507032750 342009377000 410411252400 513014065500 684018754000 1026028131000 2052056262000