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55450401100 = 22521729412039
BaseRepresentation
bin110011101001000110…
…011111100101001100
312022010102201020100021
4303221012133211030
51402030300313400
641250142311524
74002053426653
oct635106374514
9168112636307
1055450401100
1121575340076
12a8b62885a4
1352c9008a33
14298055619a
15169811871a
hexce919f94c

55450401100 has 108 divisors (see below), whose sum is σ = 128020399920. Its totient is φ = 20843033600.

The previous prime is 55450401053. The next prime is 55450401119. The reversal of 55450401100 is 110405455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27193881 + ... + 27195919.

Almost surely, 255450401100 is an apocalyptic number.

55450401100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55450401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64010199960).

55450401100 is an abundant number, since it is smaller than the sum of its proper divisors (72569998820).

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

55450401100 is a wasteful number, since it uses less digits than its factorization.

55450401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3004 counting only the distinct ones).

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

Adding to 55450401100 its reverse (110405455), we get a palindrome (55560806555).

The spelling of 55450401100 in words is "fifty-five billion, four hundred fifty million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 941 1156 1445 1700 1882 2039 2890 3764 4078 4705 5780 7225 8156 9410 10195 14450 15997 18820 20390 23525 28900 31994 34663 40780 47050 50975 63988 69326 79985 94100 101950 138652 159970 173315 203900 271949 319940 346630 399925 543898 589271 693260 799850 866575 1087796 1178542 1359745 1599700 1733150 1918699 2357084 2719490 2946355 3466300 3837398 5438980 5892710 6798725 7674796 9593495 11785420 13597450 14731775 19186990 27194900 29463550 32617883 38373980 47967475 58927100 65235766 95934950 130471532 163089415 191869900 326178830 554504011 652357660 815447075 1109008022 1630894150 2218016044 2772520055 3261788300 5545040110 11090080220 13862600275 27725200550 55450401100