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2056036608640 = 27571726996279
BaseRepresentation
bin11101111010110101010…
…101001110101010000000
321021112222201121111212201
4131322311111032222000
5232141230332434030
64212310304002544
7301354334550640
oct35726525165200
97245881544781
102056036608640
11722a620792a3
12292582600454
1311bb63b49b71
1471726bdc520
15387377dc2ca
hex1deb554ea80

2056036608640 has 128 divisors (see below), whose sum is σ = 5947820409600. Its totient is φ = 663460528128.

The previous prime is 2056036608607. The next prime is 2056036608649. The reversal of 2056036608640 is 468066306502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2056036608649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13421980 + ... + 13574299.

It is an arithmetic number, because the mean of its divisors is an integer number (46467346950).

Almost surely, 22056036608640 is an apocalyptic number.

2056036608640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2056036608640 is an abundant number, since it is smaller than the sum of its proper divisors (3891783800960).

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

2056036608640 is a wasteful number, since it uses less digits than its factorization.

2056036608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26996322 (or 26996310 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 2056036608640 in words is "two trillion, fifty-six billion, thirty-six million, six hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 38080 76160 26996279 53992558 107985116 134981395 188973953 215970232 269962790 377947906 431940464 458936743 539925580 755895812 863880928 917873486 944869765 1079851160 1511791624 1727761856 1835746972 1889739530 2159702320 2294683715 3023583248 3212557201 3455523712 3671493944 3779479060 4319404640 4589367430 6047166496 6425114402 7342987888 7558958120 8638809280 9178734860 12094332992 12850228804 14685975776 15117916240 16062786005 17277618560 18357469720 24188665984 25700457608 29371951552 30235832480 32125572010 36714939440 51400915216 58743903104 60471664960 64251144020 73429878880 102801830432 120943329920 128502288040 146859757760 205603660864 257004576080 293719515520 411207321728 514009152160 1028018304320 2056036608640