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55734813144 = 23325314719929
BaseRepresentation
bin110011111010000011…
…011100000111011000
312022212020212212022200
4303322003130013120
51403121103010034
641334302250200
74012106044413
oct637203340730
9168766785280
1055734813144
112170093804a
12a975586960
135342c0969a
1429aa22cb7a
1516b3098a99
hexcfa0dc1d8

55734813144 has 96 divisors (see below), whose sum is σ = 153916588800. Its totient is φ = 18213511680.

The previous prime is 55734813139. The next prime is 55734813151. The reversal of 55734813144 is 44131843755.

55734813144 is a `hidden beast` number, since 5 + 573 + 4 + 8 + 1 + 31 + 44 = 666.

55734813144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55734813144.

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, 5608372 + ... + 5618300.

It is an arithmetic number, because the mean of its divisors is an integer number (1603297800).

Almost surely, 255734813144 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 55734813144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76958294400).

55734813144 is an abundant number, since it is smaller than the sum of its proper divisors (98181775656).

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

55734813144 is a wasteful number, since it uses less digits than its factorization.

55734813144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11465 (or 11458 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 55734813144 in words is "fifty-five billion, seven hundred thirty-four million, eight hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1471 1908 2942 3816 4413 5884 8826 9929 11768 13239 17652 19858 26478 29787 35304 39716 52956 59574 77963 79432 89361 105912 119148 155926 178722 233889 238296 311852 357444 467778 526237 623704 701667 714888 935556 1052474 1403334 1578711 1871112 2104948 2806668 3157422 4209896 4736133 5613336 6314844 9472266 12629688 14605559 18944532 29211118 37889064 43816677 58422236 87633354 116844472 131450031 175266708 262900062 350533416 525800124 774094627 1051600248 1548189254 2322283881 3096378508 4644567762 6192757016 6966851643 9289135524 13933703286 18578271048 27867406572 55734813144