Search a number
-
+
5760403488350 = 2527116314151587
BaseRepresentation
bin101001111010011001011…
…0011011011111001011110
3202101200121102102122212022
41103310302303123321132
51223334301243111400
620130143130140142
71133114111524220
oct123646263337136
922350542378768
105760403488350
111920a78660a65
127904a3581652
1332a285751694
1415cb3ad72410
159ec9467db85
hex53d32cdbe5e

5760403488350 has 48 divisors (see below), whose sum is σ = 12255501633408. Its totient is φ = 1973297151840.

The previous prime is 5760403488341. The next prime is 5760403488461. The reversal of 5760403488350 is 538843040675.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5760403488292 and 5760403488301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6668744 + ... + 7482843.

It is an arithmetic number, because the mean of its divisors is an integer number (255322950696).

Almost surely, 25760403488350 is an apocalyptic number.

5760403488350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5760403488350 is an abundant number, since it is smaller than the sum of its proper divisors (6495098145058).

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

5760403488350 is a wasteful number, since it uses less digits than its factorization.

5760403488350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14152769 (or 14152764 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 5760403488350 in words is "five trillion, seven hundred sixty billion, four hundred three million, four hundred eighty-eight thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 1163 2326 5815 8141 11630 16282 29075 40705 58150 81410 203525 407050 14151587 28303174 70757935 99061109 141515870 198122218 353789675 495305545 707579350 990611090 2476527725 4953055450 16458295681 32916591362 82291478405 115208069767 164582956810 230416139534 411457392025 576040348835 822914784050 1152080697670 2880201744175 5760403488350