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2054134368 = 2532111349877
BaseRepresentation
bin111101001101111…
…1001101001100000
312022011012211121200
41322123321221200
513201324244433
6535455121200
7101621565636
oct17233715140
95264184550
102054134368
11964561610
12493b13200
1326974c530
14156b4b356
15c0507613
hex7a6f9a60

2054134368 has 144 divisors (see below), whose sum is σ = 6862813776. Its totient is φ = 574571520.

The previous prime is 2054134349. The next prime is 2054134373. The reversal of 2054134368 is 8634314502.

2054134368 is a `hidden beast` number, since 20 + 541 + 34 + 3 + 68 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16246 + ... + 66122.

It is an arithmetic number, because the mean of its divisors is an integer number (47658429).

Almost surely, 22054134368 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 2054134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431406888).

2054134368 is an abundant number, since it is smaller than the sum of its proper divisors (4808679408).

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

2054134368 is a wasteful number, since it uses less digits than its factorization.

2054134368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49917 (or 49906 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2054134368 is about 45322.5591510453. The cubic root of 2054134368 is about 1271.1875077108.

It can be divided in two parts, 2054134 and 368, that added together give a palindrome (2054502).

The spelling of 2054134368 in words is "two billion, fifty-four million, one hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 49877 99754 149631 199508 299262 399016 448893 548647 598524 648401 798032 897786 1097294 1197048 1296802 1596064 1645941 1795572 1945203 2194588 2394096 2593604 3291882 3591144 3890406 4389176 4788192 4937823 5187208 5835609 6583764 7132411 7182288 7780812 8778352 9875646 10374416 11671218 13167528 14264822 14364576 15561624 17556704 19751292 20748832 21397233 23342436 26335056 28529644 31123248 39502584 42794466 46684872 52670112 57059288 62246496 64191699 79005168 85588932 93369744 114118576 128383398 158010336 171177864 186739488 228237152 256766796 342355728 513533592 684711456 1027067184 2054134368