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55835675104 = 2511238977491
BaseRepresentation
bin110100000000000100…
…001100100111100000
312100010021200011220211
4310000010030213200
51403322413100404
641352304143504
74014442256536
oct640004144740
9170107604824
1055835675104
1121752868140
12a9a3307b94
13535aa92611
1429b97a6156
1516bbd6db04
hexd0010c9e0

55835675104 has 96 divisors (see below), whose sum is σ = 126541336320. Its totient is φ = 24003302400.

The previous prime is 55835675083. The next prime is 55835675107. The reversal of 55835675104 is 40157653855.

It is a super-2 number, since 2×558356751042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55835675107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681799 + ... + 759289.

It is an arithmetic number, because the mean of its divisors is an integer number (1318138920).

Almost surely, 255835675104 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 55835675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63270668160).

55835675104 is an abundant number, since it is smaller than the sum of its proper divisors (70705661216).

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

55835675104 is a wasteful number, since it uses less digits than its factorization.

55835675104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77624 (or 77616 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 49.

The spelling of 55835675104 in words is "fifty-five billion, eight hundred thirty-five million, six hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 89 92 176 178 184 253 352 356 368 506 712 736 979 1012 1424 1958 2024 2047 2848 3916 4048 4094 7832 8096 8188 15664 16376 22517 31328 32752 45034 65504 77491 90068 154982 180136 309964 360272 619928 720544 852401 1239856 1704802 1782293 2479712 3409604 3564586 6819208 6896699 7129172 13638416 13793398 14258344 19605223 27276832 27586796 28516688 39210446 55173592 57033376 75863689 78420892 110347184 151727378 156841784 158624077 220694368 303454756 313683568 317248154 606909512 627367136 634496308 1213819024 1268992616 1744864847 2427638048 2537985232 3489729694 5075970464 6979459388 13958918776 27917837552 55835675104