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55103672688 = 2432364177867
BaseRepresentation
bin110011010100011011…
…110101000101110000
312021020021021121101020
4303110123311011300
51400323020011223
641151514535440
73660343326651
oct632433650560
9167207247336
1055103672688
112140764a969
12a81a137580
1352722299ac
14294a49b528
1516779791e3
hexcd46f5170

55103672688 has 80 divisors (see below), whose sum is σ = 148773977856. Its totient is φ = 17541652480.

The previous prime is 55103672683. The next prime is 55103672753. The reversal of 55103672688 is 88627630155.

It is a happy number.

55103672688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55103672688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55103672683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668731 + ... + 746597.

Almost surely, 255103672688 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 55103672688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74386988928).

55103672688 is an abundant number, since it is smaller than the sum of its proper divisors (93670305168).

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

55103672688 is a wasteful number, since it uses less digits than its factorization.

55103672688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78542 (or 78536 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 55103672688 in words is "fifty-five billion, one hundred three million, six hundred seventy-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 641 1104 1282 1923 2564 3846 5128 7692 10256 14743 15384 29486 30768 44229 58972 77867 88458 117944 155734 176916 233601 235888 311468 353832 467202 622936 707664 934404 1245872 1790941 1868808 3581882 3737616 5372823 7163764 10745646 14327528 21491292 28655056 42982584 49912747 85965168 99825494 149738241 199650988 299476482 399301976 598952964 798603952 1147993181 1197905928 2295986362 2395811856 3443979543 4591972724 6887959086 9183945448 13775918172 18367890896 27551836344 55103672688