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2066427480 = 2335132945677
BaseRepresentation
bin111101100101011…
…0010111001011000
312100000100101121010
41323022302321120
513213001134410
6541014413520
7102131225625
oct17312627130
95300311533
102066427480
11970498607
124980612a0
1326c164a70
1415862b34c
15c1634c20
hex7b2b2e58

2066427480 has 128 divisors (see below), whose sum is σ = 6906513600. Its totient is φ = 491108352.

The previous prime is 2066427431. The next prime is 2066427491. The reversal of 2066427480 is 847246602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22402 + ... + 68078.

Almost surely, 22066427480 is an apocalyptic number.

2066427480 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 2066427480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453256800).

2066427480 is an abundant number, since it is smaller than the sum of its proper divisors (4840086120).

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

2066427480 is a wasteful number, since it uses less digits than its factorization.

2066427480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45733 (or 45729 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2066427480 is about 45457.9748779023. The cubic root of 2066427480 is about 1273.7183029290.

The spelling of 2066427480 in words is "two billion, sixty-six million, four hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 45677 91354 137031 182708 228385 274062 365416 456770 548124 593801 685155 913540 1096248 1187602 1324633 1370310 1781403 1827080 2375204 2649266 2740620 2969005 3562806 3973899 4750408 5298532 5481240 5938010 6623165 7125612 7947798 8907015 10597064 11876020 13246330 14251224 15895596 17220229 17814030 19869495 23752040 26492660 31791192 34440458 35628060 39738990 51660687 52985320 68880916 71256120 79477980 86101145 103321374 137761832 158955960 172202290 206642748 258303435 344404580 413285496 516606870 688809160 1033213740 2066427480