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2066487552 = 28373691
BaseRepresentation
bin111101100101100…
…0001100100000000
312100000110110000000
41323023001210000
513213010100202
6541020000000
7102131566023
oct17313014400
95300413000
102066487552
11970529758
12498090000
1326c1861cc
141586451ba
15c164791c
hex7b2c1900

2066487552 has 144 divisors (see below), whose sum is σ = 6188087360. Its totient is φ = 688642560.

The previous prime is 2066487541. The next prime is 2066487569. The reversal of 2066487552 is 2557846602.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2066487498 and 2066487507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558027 + ... + 561717.

Almost surely, 22066487552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066487552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094043680).

2066487552 is an abundant number, since it is smaller than the sum of its proper divisors (4121599808).

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

2066487552 is an frugal number, since it uses more digits than its factorization.

2066487552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2066487552 is about 45458.6356152492. The cubic root of 2066487552 is about 1273.7306453356.

The spelling of 2066487552 in words is "two billion, sixty-six million, four hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3691 3888 4374 5184 5832 6912 7382 7776 8748 10368 11073 11664 14764 15552 17496 20736 22146 23328 29528 31104 33219 34992 44292 46656 59056 62208 66438 69984 88584 93312 99657 118112 132876 139968 177168 186624 199314 236224 265752 279936 298971 354336 398628 472448 531504 559872 597942 708672 797256 896913 944896 1063008 1195884 1417344 1594512 1793826 2126016 2391768 2690739 2834688 3189024 3587652 4252032 4783536 5381478 6378048 7175304 8072217 8504064 9567072 10762956 12756096 14350608 16144434 19134144 21525912 25512192 28701216 32288868 38268288 43051824 57402432 64577736 76536576 86103648 114804864 129155472 172207296 229609728 258310944 344414592 516621888 688829184 1033243776 2066487552