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55516929444 = 22331783364313
BaseRepresentation
bin110011101101000100…
…010001110110100100
312022022001220020002000
4303231010101312210
51402144313220234
641300520245300
74003522054104
oct635504216644
9168261806060
1055516929444
11215a994a879
12a914610830
135309a30312
142989313204
15169ddaa899
hexced111da4

55516929444 has 96 divisors (see below), whose sum is σ = 154235975040. Its totient is φ = 17207184384.

The previous prime is 55516929437. The next prime is 55516929467. The reversal of 55516929444 is 44492961555.

It is a happy number.

55516929444 is a `hidden beast` number, since 5 + 551 + 69 + 29 + 4 + 4 + 4 = 666.

It is a super-3 number, since 3×555169294443 (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

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, 29769 + ... + 334544.

It is an arithmetic number, because the mean of its divisors is an integer number (1606624740).

Almost surely, 255516929444 is an apocalyptic number.

55516929444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55516929444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77117987520).

55516929444 is an abundant number, since it is smaller than the sum of its proper divisors (98719045596).

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

55516929444 is a wasteful number, since it uses less digits than its factorization.

55516929444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364426 (or 364418 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 55516929444 in words is "fifty-five billion, five hundred sixteen million, nine hundred twenty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 16932 25398 38097 50796 76194 152388 364313 728626 1092939 1457252 2185878 3278817 4371756 6193321 6557634 9836451 12386642 13115268 18579963 19672902 24773284 30237979 37159926 39345804 55739889 60475958 74319852 90713937 111479778 120951916 167219667 181427874 222959556 272141811 334439334 362855748 514045643 544283622 668878668 816425433 1028091286 1088567244 1542136929 1632850866 2056182572 3084273858 3265701732 4626410787 6168547716 9252821574 13879232361 18505643148 27758464722 55516929444