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55117301240 = 235531511671031
BaseRepresentation
bin110011010101001111…
…110100010111111000
312021021012221000020102
4303111033310113320
51400340012114430
641153123014532
73660600221231
oct632517642770
9167235830212
1055117301240
1121414309231
12a82280a448
135274cbc021
14294c208088
151678c6c345
hexcd53f45f8

55117301240 has 128 divisors (see below), whose sum is σ = 128076318720. Its totient is φ = 21338304000.

The previous prime is 55117301201. The next prime is 55117301243. The reversal of 55117301240 is 4210371155.

It is a super-4 number, since 4×551173012404 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55117301243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53459525 + ... + 53460555.

It is an arithmetic number, because the mean of its divisors is an integer number (1000596240).

Almost surely, 255117301240 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 55117301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64038159360).

55117301240 is an abundant number, since it is smaller than the sum of its proper divisors (72959017480).

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

55117301240 is a wasteful number, since it uses less digits than its factorization.

55117301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

Adding to 55117301240 its reverse (4210371155), we get a palindrome (59327672395).

The spelling of 55117301240 in words is "fifty-five billion, one hundred seventeen million, three hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 151 167 212 265 302 334 424 530 604 668 755 835 1031 1060 1208 1336 1510 1670 2062 2120 3020 3340 4124 5155 6040 6680 8003 8248 8851 10310 16006 17702 20620 25217 32012 35404 40015 41240 44255 50434 54643 64024 70808 80030 88510 100868 109286 126085 155681 160060 172177 177020 201736 218572 252170 273215 311362 320120 344354 354040 437144 504340 546430 622724 688708 778405 860885 1008680 1092860 1245448 1336501 1377416 1556810 1721770 2185720 2673002 3113620 3443540 5346004 6227240 6682505 6887080 8251093 9125381 10692008 13365010 16502186 18250762 25998727 26730020 33004372 36501524 41255465 45626905 51997454 53460040 66008744 73003048 82510930 91253810 103994908 129993635 165021860 182507620 207989816 259987270 330043720 365015240 519974540 1039949080 1377932531 2755865062 5511730124 6889662655 11023460248 13779325310 27558650620 55117301240