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1060642207700 = 2252171819533617
BaseRepresentation
bin11110110111100110011…
…00111011011111010100
310202101200222102202120122
433123303030323133110
5114334143401121300
62131130255251112
7136425463004255
oct17336314733724
93671628382518
101060642207700
113798a796a119
12151686b19a98
1379030aabc8a
143949a30cb2c
151c8ca572c85
hexf6f333b7d4

1060642207700 has 144 divisors (see below), whose sum is σ = 2453694922224. Its totient is φ = 396568166400.

The previous prime is 1060642207663. The next prime is 1060642207711. The reversal of 1060642207700 is 77022460601.

It can be written as a sum of positive squares in 24 ways, for example, as 1057808136004 + 2834071696 = 1028498^2 + 53236^2 .

It is a super-2 number, since 2×10606422077002 (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, 293236292 + ... + 293239908.

It is an arithmetic number, because the mean of its divisors is an integer number (17039548071).

Almost surely, 21060642207700 is an apocalyptic number.

1060642207700 is a gapful number since it is divisible by the number (10) 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 1060642207700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226847461112).

1060642207700 is an abundant number, since it is smaller than the sum of its proper divisors (1393052714524).

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

1060642207700 is a wasteful number, since it uses less digits than its factorization.

1060642207700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 1060642207700 in words is "one trillion, sixty billion, six hundred forty-two million, two hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 181 340 362 425 724 850 905 953 1700 1810 1906 3077 3617 3620 3812 4525 4765 6154 7234 9050 9530 12308 14468 15385 16201 18085 18100 19060 23825 30770 32402 36170 47650 61489 61540 64804 72340 76925 81005 90425 95300 122978 153850 162010 172493 180850 245956 307445 307700 324020 344986 361700 405025 614890 654677 689972 810050 862465 1229780 1309354 1537225 1620100 1724930 2618708 2932381 3074450 3273385 3447001 3449860 4312325 5864762 6148900 6546770 6894002 8624650 11129509 11729524 13093540 13788004 14661905 16366925 17235005 17249300 22259018 29323810 32733850 34470010 44518036 55647545 58599017 58647620 65467700 68940020 73309525 86175025 111295090 117198034 146619050 172350050 222590180 234396068 278237725 292995085 293238100 344700100 556475450 585990170 623907181 1112950900 1171980340 1247814362 1464975425 2495628724 2929950850 3119535905 5859901700 6239071810 10606422077 12478143620 15597679525 21212844154 31195359050 42425688308 53032110385 62390718100 106064220770 212128441540 265160551925 530321103850 1060642207700