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55435411453455 = 33511233319489019
BaseRepresentation
bin11001001101011000100000…
…00000011111011000001111
321021021120111010201222112000
430212230100000133120033
524231223210313002310
6313522402040243343
714451035113444335
oct1446542000373017
9237246433658460
1055435411453455
1116733031627060
126273907170553
1324c16c966ab17
14d99134165b55
156620079d24c0
hex326b1001f60f

55435411453455 has 128 divisors (see below), whose sum is σ = 112219527168000. Its totient is φ = 25701377708160.

The previous prime is 55435411453439. The next prime is 55435411453469.

55435411453455 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 5 + 41 + 14 + 534 + 55 = 666.

55435411453455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55435411453455 - 24 = 55435411453439 is a prime.

It is a congruent number.

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, 113115936 + ... + 113604954.

It is an arithmetic number, because the mean of its divisors is an integer number (876715056000).

Almost surely, 255435411453455 is an apocalyptic number.

55435411453455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55435411453455 is an abundant number, since it is smaller than the sum of its proper divisors (56784115714545).

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

55435411453455 is a wasteful number, since it uses less digits than its factorization.

55435411453455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492386 (or 492380 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

It can be divided in two parts, 5543541 and 1453455, that added together give a palindrome (6996996).

The spelling of 55435411453455 in words is "fifty-five trillion, four hundred thirty-five billion, four hundred eleven million, four hundred fifty-three thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 621 759 1035 1265 1485 2277 3105 3319 3795 6831 9957 11385 16595 29871 34155 36509 49785 76337 89613 109527 149355 182545 229011 328581 381685 448065 489019 547635 687033 839707 985743 1145055 1467057 1642905 2061099 2445095 2519121 3435165 4198535 4401171 4928715 5379209 7335285 7557363 10305495 11247437 12595605 13203513 16137627 22005855 22672089 26896045 33742311 37786815 48412881 56237185 66017565 80688135 101226933 113360445 123721807 145238643 168711555 242064405 303680799 371165421 506134665 618609035 726193215 1113496263 1518403995 1623054061 1855827105 3340488789 4869162183 5567481315 8115270305 14607486549 16702443945 17853594671 24345810915 37330243403 43822459647 53560784013 73037432745 89267973355 111990730209 160682352039 186651217015 219112298235 267803920065 335972190627 410632677433 482047056117 559953651045 803411760195 1007916571881 1231898032299 1679860953135 2053163387165 2410235280585 3695694096897 5039582859405 6159490161495 11087082290691 18478470484485 55435411453455