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2066313255400 = 235237911306511
BaseRepresentation
bin11110000100011001110…
…111100001100111101000
321022112111220221021000101
4132010121313201213220
5232323302143133100
64221130132115144
7302200111606132
oct36043167414750
97275456837011
102066313255400
11727355a67099
12294570165ab4
1311cb10c49634
147201d9b6052
1538b39ae486a
hex1e119de19e8

2066313255400 has 96 divisors (see below), whose sum is σ = 4939453140480. Its totient is φ = 803301408000.

The previous prime is 2066313255397. The next prime is 2066313255403. The reversal of 2066313255400 is 45523136602.

It is an interprime number because it is at equal distance from previous prime (2066313255397) and next prime (2066313255403).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2066313255400.

It is not an unprimeable number, because it can be changed into a prime (2066313255403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6588145 + ... + 6894655.

It is an arithmetic number, because the mean of its divisors is an integer number (51452636880).

Almost surely, 22066313255400 is an apocalyptic number.

2066313255400 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 2066313255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469726570240).

2066313255400 is an abundant number, since it is smaller than the sum of its proper divisors (2873139885080).

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

2066313255400 is a wasteful number, since it uses less digits than its factorization.

2066313255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307475 (or 307466 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 2066313255400 in words is "two trillion, sixty-six billion, three hundred thirteen million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 911 925 1480 1822 1850 3644 3700 4555 7288 7400 9110 18220 22775 33707 36440 45550 67414 91100 134828 168535 182200 269656 306511 337070 613022 674140 842675 1226044 1348280 1532555 1685350 2452088 3065110 3370700 6130220 6741400 7662775 11340907 12260440 15325550 22681814 30651100 45363628 56704535 61302200 90727256 113409070 226818140 279231521 283522675 453636280 558463042 567045350 1116926084 1134090700 1396157605 2233852168 2268181400 2792315210 5584630420 6980788025 10331566277 11169260840 13961576050 20663132554 27923152100 41326265108 51657831385 55846304200 82652530216 103315662770 206631325540 258289156925 413262651080 516578313850 1033156627700 2066313255400