Search a number
-
+
5053245554504 = 237311321177237
BaseRepresentation
bin100100110001000110011…
…1001111111111101001000
3122220002022101000112211102
41021202030321333331020
51130243021330221004
614425232353320532
71031041064336000
oct111421471777510
918802271015742
105053245554504
111679084417764
12697429866148
132a8699362634
1413681515d000
158b6a6eb211e
hex4988ce7ff48

5053245554504 has 128 divisors (see below), whose sum is σ = 11200127904000. Its totient is φ = 2136310686720.

The previous prime is 5053245554473. The next prime is 5053245554543. The reversal of 5053245554504 is 4054555423505.

It is a super-2 number, since 2×50532455545042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65386574 + ... + 65463810.

It is an arithmetic number, because the mean of its divisors is an integer number (87500999250).

Almost surely, 25053245554504 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 5053245554504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600063952000).

5053245554504 is an abundant number, since it is smaller than the sum of its proper divisors (6146882349496).

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

5053245554504 is a wasteful number, since it uses less digits than its factorization.

5053245554504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77588 (or 77570 counting only the distinct ones).

The product of its (nonzero) digits is 6000000, while the sum is 47.

The spelling of 5053245554504 in words is "five trillion, fifty-three billion, two hundred forty-five million, five hundred fifty-four thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 211 226 343 392 422 452 686 791 844 904 1372 1477 1582 1688 2744 2954 3164 5537 5908 6328 10339 11074 11816 20678 22148 23843 38759 41356 44296 47686 72373 77237 77518 82712 95372 144746 154474 155036 166901 190744 289492 308948 310072 333802 540659 578984 617896 667604 1081318 1168307 1335208 2162636 2336614 3784613 4325272 4673228 7569226 8178149 8727781 9346456 15138452 16297007 16356298 17455562 26492291 30276904 32594014 32712596 34911124 52984582 61094467 65188028 65425192 69822248 105969164 114079049 122188934 130376056 211938328 228158098 244377868 427661269 456316196 488755736 798553343 855322538 912632392 1597106686 1710645076 1841561791 2993628883 3194213372 3421290152 3683123582 5589873401 5987257766 6388426744 7366247164 11179746802 11974515532 12890932537 14732494328 22359493604 23949031064 25781865074 44718987208 51563730148 90236527759 103127460296 180473055518 360946111036 631655694313 721892222072 1263311388626 2526622777252 5053245554504