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2054768508 = 223213371071109
BaseRepresentation
bin111101001111001…
…0100011101111100
312022012102001111100
41322132110131330
513202010043013
6535520453100
7101630146512
oct17236243574
95265361440
102054768508
11964954aa1
1249417a190
13269912070
14156c744b2
15c05d0473
hex7a79477c

2054768508 has 144 divisors (see below), whose sum is σ = 5803630560. Its totient is φ = 608850432.

The previous prime is 2054768489. The next prime is 2054768531. The reversal of 2054768508 is 8058674502.

2054768508 is a `hidden beast` number, since 20 + 54 + 76 + 8 + 508 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1852258 + ... + 1853366.

It is an arithmetic number, because the mean of its divisors is an integer number (40302990).

Almost surely, 22054768508 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 2054768508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901815280).

2054768508 is an abundant number, since it is smaller than the sum of its proper divisors (3748862052).

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

2054768508 is a wasteful number, since it uses less digits than its factorization.

2054768508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2054768508 is about 45329.5544650507. The cubic root of 2054768508 is about 1271.3183053711.

The spelling of 2054768508 in words is "two billion, fifty-four million, seven hundred sixty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 107 111 117 148 156 214 222 234 321 333 428 444 468 481 642 666 962 963 1109 1284 1332 1391 1443 1924 1926 2218 2782 2886 3327 3852 3959 4173 4329 4436 5564 5772 6654 7918 8346 8658 9981 11877 12519 13308 14417 15836 16692 17316 19962 23754 25038 28834 35631 39924 41033 43251 47508 50076 51467 57668 71262 82066 86502 102934 118663 123099 129753 142524 154401 164132 173004 205868 237326 246198 259506 308802 355989 369297 463203 474652 492396 519012 533429 617604 711978 738594 926406 1066858 1067967 1423956 1477188 1542619 1600287 1852812 2133716 2135934 3085238 3200574 4271868 4390531 4627857 4800861 6170476 6401148 8781062 9255714 9601722 13171593 13883571 17562124 18511428 19203444 26343186 27767142 39514779 52686372 55534284 57076903 79029558 114153806 158059116 171230709 228307612 342461418 513692127 684922836 1027384254 2054768508