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55541355314555 = 511171011814497237
BaseRepresentation
bin11001010000011101110101…
…10000001111110101111011
321021122200221112210202100102
430220032322300033311323
524234442143430031210
6314043202453030015
714461505363425055
oct1450167260176573
9237580845722312
1055541355314555
1116773a58129a60
12629035362530b
1324cb6b171b926
14da03047808d5
15664b58965ea5
hex3283bac0fd7b

55541355314555 has 128 divisors (see below), whose sum is σ = 78362386502400. Its totient is φ = 37344706560000.

The previous prime is 55541355314537. The next prime is 55541355314579.

55541355314555 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55541355314555 - 212 = 55541355310459 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55541355314555.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7674634397 + ... + 7674641633.

It is an arithmetic number, because the mean of its divisors is an integer number (612206144550).

Almost surely, 255541355314555 is an apocalyptic number.

55541355314555 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55541355314555 is a deficient number, since it is larger than the sum of its proper divisors (22821031187845).

55541355314555 is a wasteful number, since it uses less digits than its factorization.

55541355314555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001.

The product of its digits is 56250000, while the sum is 56.

The spelling of 55541355314555 in words is "fifty-five trillion, five hundred forty-one billion, three hundred fifty-five million, three hundred fourteen thousand, five hundred fifty-five".

Divisors: 1 5 11 17 55 85 101 181 187 449 505 905 935 1111 1717 1991 2245 3077 4939 5555 7237 7633 8585 9955 15385 18281 18887 24695 33847 36185 38165 45349 79607 81269 83963 91405 94435 123029 169235 201091 226745 310777 398035 406345 419815 498839 615145 730937 770933 893959 1005455 1309897 1353319 1381573 1553885 2494195 3249413 3418547 3654685 3854665 4469795 6549485 6766595 6907865 8040307 8208169 8480263 12425929 14408867 15197303 16247065 17092735 22268249 35743543 40201535 41040845 42401315 55240021 62129645 72044335 75986515 90289859 111341245 132299597 136685219 139538873 178717715 244950739 276200105 328190713 451449295 588143753 607640231 661497985 683426095 697694365 1224753695 1455295567 1534927603 1640953565 2249093149 2940718765 3038201155 3610097843 5579242121 6469581283 7276477835 7674638015 9998443801 11245465745 18050489215 24740024639 27896210605 32347906415 49992219005 59402519053 61371663331 109982881811 123700123195 297012595265 306858316655 549914409055 653427709583 1009842823901 3267138547915 5049214119505 11108271062911 55541355314555