Search a number
-
+
5053906872 = 233475631979
BaseRepresentation
bin1001011010011110…
…00111111110111000
3111001012211001220000
410231033013332320
540322300004442
62153254433000
7236145333240
oct45517077670
914035731800
105053906872
112163887043
12b90662760
13627084351
1435d2d4b20
151e8a53d4c
hex12d3c7fb8

5053906872 has 160 divisors (see below), whose sum is σ = 16214774400. Its totient is φ = 1440680256.

The previous prime is 5053906853. The next prime is 5053906903. The reversal of 5053906872 is 2786093505.

It is a happy number.

5053906872 is a `hidden beast` number, since 50 + 539 + 0 + 68 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2552779 + ... + 2554757.

It is an arithmetic number, because the mean of its divisors is an integer number (101342340).

Almost surely, 25053906872 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 5053906872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107387200).

5053906872 is an abundant number, since it is smaller than the sum of its proper divisors (11160867528).

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

5053906872 is a wasteful number, since it uses less digits than its factorization.

5053906872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5053906872 is about 71090.8353587155. The cubic root of 5053906872 is about 1716.0992900639.

It can be divided in two parts, 5053 and 906872, that added together give a triangular number (911925 = T1350).

The spelling of 5053906872 in words is "five billion, fifty-three million, nine hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 563 567 648 756 1126 1134 1512 1689 1979 2252 2268 3378 3941 3958 4504 4536 5067 5937 6756 7882 7916 10134 11823 11874 13512 13853 15201 15764 15832 17811 20268 23646 23748 27706 30402 31528 35469 35622 40536 41559 45603 47292 47496 53433 55412 60804 70938 71244 83118 91206 94584 106407 106866 110824 121608 124677 141876 142488 160299 166236 182412 212814 213732 249354 283752 319221 320598 332472 364824 374031 425628 427464 498708 638442 641196 748062 851256 997416 1114177 1122093 1276884 1282392 1496124 2228354 2244186 2553768 2992248 3342531 4456708 4488372 6685062 7799239 8913416 8976744 10027593 13370124 15598478 20055186 23397717 26740248 30082779 31196956 40110372 46795434 60165558 62393912 70193151 80220744 90248337 93590868 120331116 140386302 180496674 187181736 210579453 240662232 280772604 360993348 421158906 561545208 631738359 721986696 842317812 1263476718 1684635624 2526953436 5053906872