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54835780194 = 23313102176507
BaseRepresentation
bin110011000100011101…
…111001101001100010
312020112121012020222000
4303010131321221202
51344300424431234
641105145024430
73650611304166
oct630435715142
9166477166860
1054835780194
112128a406308
12a764485116
13522b891220
142922a84ca6
15165e1ad899
hexcc4779a62

54835780194 has 64 divisors (see below), whose sum is σ = 131361175680. Its totient is φ = 16855801920.

The previous prime is 54835780187. The next prime is 54835780201. The reversal of 54835780194 is 49108753845.

54835780194 is a `hidden beast` number, since 5 + 483 + 5 + 78 + 0 + 1 + 94 = 666.

54835780194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54835780187) and next prime (54835780201).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54835780194.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678489 + ... + 754995.

It is an arithmetic number, because the mean of its divisors is an integer number (2052518370).

Almost surely, 254835780194 is an apocalyptic number.

54835780194 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54835780194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65680587840).

54835780194 is an abundant number, since it is smaller than the sum of its proper divisors (76525395486).

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

54835780194 is a wasteful number, since it uses less digits than its factorization.

54835780194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77552 (or 77546 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 54835780194 in words is "fifty-four billion, eight hundred thirty-five million, seven hundred eighty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1021 2042 3063 6126 9189 13273 18378 26546 27567 39819 55134 76507 79638 119457 153014 229521 238914 358371 459042 688563 716742 994591 1377126 1989182 2065689 2983773 4131378 5967546 8951319 17902638 26853957 53707914 78113647 156227294 234340941 468681882 703022823 1015477411 1406045646 2030954822 2109068469 3046432233 4218136938 6092864466 9139296699 18278593398 27417890097 54835780194