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55934291760 = 24351097332917
BaseRepresentation
bin110100000101111100…
…011000111100110000
312100101011020102112120
4310011330120330300
51404023134314020
641410145554240
74020050430624
oct640574307460
9170334212476
1055934291760
11217a34a4306
12aa10345980
135375340579
1429c8917184
1516c584d740
hexd05f18f30

55934291760 has 160 divisors (see below), whose sum is σ = 175285894080. Its totient is φ = 14753746944.

The previous prime is 55934291753. The next prime is 55934291761. The reversal of 55934291760 is 6719243955.

It is not an unprimeable number, because it can be changed into a prime (55934291761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19173822 + ... + 19176738.

It is an arithmetic number, because the mean of its divisors is an integer number (1095536838).

Almost surely, 255934291760 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 55934291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87642947040).

55934291760 is an abundant number, since it is smaller than the sum of its proper divisors (119351602320).

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

55934291760 is a wasteful number, since it uses less digits than its factorization.

55934291760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 55934291760 in words is "fifty-five billion, nine hundred thirty-four million, two hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 733 872 1090 1308 1466 1635 1744 2180 2199 2616 2917 2932 3270 3665 4360 4398 5232 5834 5864 6540 7330 8720 8751 8796 10995 11668 11728 13080 14585 14660 17502 17592 21990 23336 26160 29170 29320 35004 35184 43755 43980 46672 58340 58640 70008 79897 87510 87960 116680 140016 159794 175020 175920 233360 239691 317953 319588 350040 399485 479382 635906 639176 700080 798970 953859 958764 1198455 1271812 1278352 1589765 1597940 1907718 1917528 2138161 2396910 2543624 3179530 3195880 3815436 3835056 4276322 4769295 4793820 5087248 6359060 6391760 6414483 7630872 8552644 9538590 9587640 10690805 12718120 12828966 15261744 17105288 19077180 19175280 21381610 25436240 25657932 32072415 34210576 38154360 42763220 51315864 64144830 76308720 85526440 102631728 128289660 171052880 233059549 256579320 466119098 513158640 699178647 932238196 1165297745 1398357294 1864476392 2330595490 2796714588 3495893235 3728952784 4661190980 5593429176 6991786470 9322381960 11186858352 13983572940 18644763920 27967145880 55934291760