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2062772816 = 241319750341
BaseRepresentation
bin111101011110011…
…0110101001010000
312022202110201100012
41322330312221100
513211032212231
6540404214052
7102055164626
oct17274665120
95282421305
102062772816
11969421825
1249699a328
1326b485440
14157d59516
15c1161e2b
hex7af36a50

2062772816 has 40 divisors (see below), whose sum is σ = 4325988744. Its totient is φ = 947197440.

The previous prime is 2062772807. The next prime is 2062772819. The reversal of 2062772816 is 6182772602.

It can be written as a sum of positive squares in 4 ways, for example, as 566630416 + 1496142400 = 23804^2 + 38680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2062772819) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15806 + ... + 66146.

Almost surely, 22062772816 is an apocalyptic number.

2062772816 is a gapful number since it is divisible by the number (26) 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 2062772816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162994372).

2062772816 is an abundant number, since it is smaller than the sum of its proper divisors (2263215928).

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

2062772816 is a wasteful number, since it uses less digits than its factorization.

2062772816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50559 (or 50553 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 2062772816 is about 45417.7588174494. The cubic root of 2062772816 is about 1272.9669644567.

The spelling of 2062772816 in words is "two billion, sixty-two million, seven hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 5122 10244 20488 40976 50341 100682 201364 402728 654433 805456 1308866 2617732 5235464 9917177 10470928 19834354 39668708 79337416 128923301 158674832 257846602 515693204 1031386408 2062772816