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55105100440 = 235134115117117
BaseRepresentation
bin110011010100100001…
…010001101010011000
312021020100222010212221
4303110201101222120
51400323401203230
641152005313424
73660361424335
oct632441215230
9167210863787
1055105100440
1121408435625
12a81a705874
135272609810
14294a74d98c
151677b5c27a
hexcd4851a98

55105100440 has 128 divisors (see below), whose sum is σ = 137694453120. Its totient is φ = 19717632000.

The previous prime is 55105100363. The next prime is 55105100467. The reversal of 55105100440 is 4400150155.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3210762 + ... + 3227878.

It is an arithmetic number, because the mean of its divisors is an integer number (1075737915).

Almost surely, 255105100440 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 55105100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68847226560).

55105100440 is an abundant number, since it is smaller than the sum of its proper divisors (82589352680).

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

55105100440 is a wasteful number, since it uses less digits than its factorization.

55105100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17333 (or 17329 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 55105100440 its reverse (4400150155), we get a palindrome (59505250595).

The spelling of 55105100440 in words is "fifty-five billion, one hundred five million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 151 164 205 260 302 328 410 520 533 604 755 820 1066 1208 1510 1640 1963 2132 2665 3020 3926 4264 5330 6040 6191 7852 9815 10660 12382 15704 17117 19630 21320 24764 30955 34234 39260 49528 61910 68468 78520 80483 85585 123820 136936 160966 171170 222521 247640 321932 342340 402415 445042 643864 684680 701797 804830 890084 1112605 1403594 1609660 1780168 2225210 2584667 2807188 3219320 3508985 4450420 5169334 5614376 7017970 8900840 9123361 10338668 12923335 14035940 18246722 20677336 25846670 28071880 33600671 36493444 45616805 51693340 67201342 72986888 91233610 103386680 105971347 134402684 168003355 182467220 211942694 268805368 336006710 364934440 423885388 529856735 672013420 847770776 1059713470 1344026840 1377627511 2119426940 2755255022 4238853880 5510510044 6888137555 11021020088 13776275110 27552550220 55105100440