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2029992349284 = 223283228612
BaseRepresentation
bin11101100010100100111…
…110010000111001100100
321012001202122202001112100
4131202210332100321210
5231224411020134114
64152322101052100
7266443050160434
oct35424476207144
97161678661470
102029992349284
11712a07839809
122895143b7030
1311957317b003
1470375ca62c4
1537c110e4909
hex1d8a4f90e64

2029992349284 has 81 divisors (see below), whose sum is σ = 5195754205369. Its totient is φ = 668277873120.

The previous prime is 2029992349159. The next prime is 2029992349309. The reversal of 2029992349284 is 4829432999202.

The square root of 2029992349284 is 1424778.

It is a perfect power (a square), and thus also a powerful number.

2029992349284 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 9 + 9 + 2 + 349 + 284 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1134697909284 + 895294440000 = 1065222^2 + 946200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 709538014 + ... + 709540874.

Almost surely, 22029992349284 is an apocalyptic number.

2029992349284 is the 1424778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029992349284

2029992349284 is an abundant number, since it is smaller than the sum of its proper divisors (3165761856085).

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

2029992349284 is an frugal number, since it uses more digits than its factorization.

2029992349284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 2029992349284 in words is "two trillion, twenty-nine billion, nine hundred ninety-two million, three hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2861 2988 5722 6889 8583 11444 13778 17166 20667 25749 27556 34332 41334 51498 62001 82668 102996 124002 237463 248004 474926 712389 949852 1424778 2137167 2849556 4274334 8185321 8548668 16370642 19709429 24555963 32741284 39418858 49111926 59128287 73667889 78837716 98223852 118256574 147335778 177384861 236513148 294671556 354769722 679381643 709539444 1358763286 2038144929 2717526572 4076289858 6114434787 8152579716 12228869574 24457739148 56388676369 112777352738 169166029107 225554705476 338332058214 507498087321 676664116428 1014996174642 2029992349284