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99905477855 = 51721947139557
BaseRepresentation
bin101110100001011010…
…1001001110011011111
3100112212120210010020112
41131002311021303133
53114101300242410
6113521305040235
710134515356511
oct1350265116337
9315776703215
1099905477855
1139408046227
121744218607b
139562066391
144b9a697bb1
1528eacb8105
hex1742d49cdf

99905477855 has 96 divisors (see below), whose sum is σ = 138141158400. Its totient is φ = 69121492992.

The previous prime is 99905477809. The next prime is 99905477873. The reversal of 99905477855 is 55877450999.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-99905477855 is a prime.

It is a super-2 number, since 2×999054778552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179363237 + ... + 179363793.

It is an arithmetic number, because the mean of its divisors is an integer number (1438970400).

Almost surely, 299905477855 is an apocalyptic number.

99905477855 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

99905477855 is the 258077-th pentagonal number.

99905477855 is a deficient number, since it is larger than the sum of its proper divisors (38235680545).

99905477855 is a wasteful number, since it uses less digits than its factorization.

99905477855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 68.

It can be divided in two parts, 9990 and 5477855, that added together give a palindrome (5487845).

The spelling of 99905477855 in words is "ninety-nine billion, nine hundred five million, four hundred seventy-seven thousand, eight hundred fifty-five".

Divisors: 1 5 17 19 47 85 95 139 235 289 323 557 695 799 893 1445 1615 2363 2641 2785 3995 4465 5491 6533 9469 10583 11815 13205 13583 15181 26179 27455 32665 40171 44897 47345 52915 67915 75905 77423 111061 124127 130895 160973 179911 200855 224485 258077 387115 445043 497401 555305 620635 763249 804865 899555 1290385 1316191 1471037 1888037 2110159 2225215 2487005 3058487 3638881 3816245 6580955 7355185 7565731 8455817 9440185 10550795 15292435 18194405 22375247 25007629 35872703 37828655 42279085 61860977 69138739 111876235 125038145 143748889 179363515 309304885 345693695 425129693 718744445 1051636609 1175358563 2125648465 5258183045 5876792815 19981095571 99905477855