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6053116476 = 223114131263
BaseRepresentation
bin1011010001100101…
…10011101000111100
3120121212000011210010
411220302303220330
544344044211401
62440351143220
7303000432621
oct55062635074
916555004703
106053116476
112626910000
12120b214b10
137560a5834
14415cb8348
1525662aed6
hex168cb3a3c

6053116476 has 120 divisors (see below), whose sum is σ = 15714357120. Its totient is φ = 1813354400.

The previous prime is 6053116453. The next prime is 6053116483. The reversal of 6053116476 is 6746113506.

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 39 ways as a sum of consecutive naturals, for example, 23015521 + ... + 23015783.

It is an arithmetic number, because the mean of its divisors is an integer number (130952976).

Almost surely, 26053116476 is an apocalyptic number.

6053116476 is a gapful number since it is divisible by the number (66) 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 6053116476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857178560).

6053116476 is an abundant number, since it is smaller than the sum of its proper divisors (9661240644).

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

6053116476 is a wasteful number, since it uses less digits than its factorization.

6053116476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 6053116476 is about 77801.7768177565. The cubic root of 6053116476 is about 1822.4670159110.

The spelling of 6053116476 in words is "six billion, fifty-three million, one hundred sixteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 131 132 242 262 263 363 393 484 524 526 726 786 789 1052 1331 1441 1452 1572 1578 2662 2882 2893 3156 3993 4323 5324 5764 5786 7986 8646 8679 11572 14641 15851 15972 17292 17358 29282 31702 31823 34453 34716 43923 47553 58564 63404 63646 68906 87846 95106 95469 103359 127292 137812 174361 175692 190212 190938 206718 348722 350053 378983 381876 413436 523083 697444 700106 757966 1046166 1050159 1136949 1400212 1515932 1917971 2092332 2100318 2273898 3835942 3850583 4168813 4200636 4547796 5753913 7671884 7701166 8337626 11507826 11551749 12506439 15402332 16675252 23015652 23103498 25012878 45856943 46206996 50025756 91713886 137570829 183427772 275141658 504426373 550283316 1008852746 1513279119 2017705492 3026558238 6053116476