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55435352100 = 22352239118819
BaseRepresentation
bin110011101000001101…
…000101100000100100
312022002101101122222220
4303220031011200210
51402012422231400
641244443552340
74001511501222
oct635015054044
9168071348886
1055435352100
11215678a1587
12a8b122b6b0
1352c5b69cbb
14297c559b12
151696b447a0
hexce8345824

55435352100 has 144 divisors (see below), whose sum is σ = 167569274880. Its totient is φ = 14122908800.

The previous prime is 55435352069. The next prime is 55435352111. The reversal of 55435352100 is 125353455.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6281491 + ... + 6290309.

It is an arithmetic number, because the mean of its divisors is an integer number (1163675520).

Almost surely, 255435352100 is an apocalyptic number.

55435352100 is a gapful number since it is divisible by the number (50) 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 55435352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83784637440).

55435352100 is an abundant number, since it is smaller than the sum of its proper divisors (112133922780).

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

55435352100 is a wasteful number, since it uses less digits than its factorization.

55435352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 55435352100 in words is "fifty-five billion, four hundred thirty-five million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 911 1150 1380 1725 1822 2300 2733 3450 3644 4555 5466 6900 8819 9110 10932 13665 17638 18220 20953 22775 26457 27330 35276 41906 44095 45550 52914 54660 62859 68325 83812 88190 91100 104765 105828 125718 132285 136650 176380 202837 209530 220475 251436 264570 273300 314295 405674 419060 440950 523825 529140 608511 628590 661425 811348 881900 1014185 1047650 1217022 1257180 1322850 1571475 2028370 2095300 2434044 2645700 3042555 3142950 4056740 5070925 6085110 6285900 8034109 10141850 12170220 15212775 16068218 20283700 24102327 30425550 32136436 40170545 48204654 60851100 80341090 96409308 120511635 160682180 184784507 200852725 241023270 369569014 401705450 482046540 554353521 602558175 739138028 803410900 923922535 1108707042 1205116350 1847845070 2217414084 2410232700 2771767605 3695690140 4619612675 5543535210 9239225350 11087070420 13858838025 18478450700 27717676050 55435352100