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55032010000 = 245411245481
BaseRepresentation
bin110011010000001010…
…011101010100010000
312021001021102202122121
4303100022131110100
51400201143310000
641140434544024
73655513236562
oct632012352420
9167037382577
1055032010000
1121380153700
12a7ba138014
135260428436
142940b65332
151671520b1a
hexcd029d510

55032010000 has 150 divisors (see below), whose sum is σ = 146454905366. Its totient is φ = 20011200000.

The previous prime is 55032009997. The next prime is 55032010009. The reversal of 55032010000 is 1023055.

It can be written as a sum of positive squares in 5 ways, for example, as 39273726976 + 15758283024 = 198176^2 + 125532^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (55032010009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1187260 + ... + 1232740.

Almost surely, 255032010000 is an apocalyptic number.

55032010000 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 55032010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73227452683).

55032010000 is an abundant number, since it is smaller than the sum of its proper divisors (91422895366).

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

55032010000 is a wasteful number, since it uses less digits than its factorization.

55032010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45531 (or 45499 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

Adding to 55032010000 its reverse (1023055), we get a palindrome (55033033055).

The spelling of 55032010000 in words is "fifty-five billion, thirty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 45481 48400 55000 60500 75625 90962 110000 121000 151250 181924 227405 242000 302500 363848 454810 500291 605000 727696 909620 1000582 1137025 1210000 1819240 2001164 2274050 2501455 3638480 4002328 4548100 5002910 5503201 5685125 8004656 9096200 10005820 11006402 11370250 12507275 18192400 20011640 22012804 22740500 25014550 27516005 28425625 40023280 44025608 45481000 50029100 55032010 56851250 62536375 88051216 90962000 100058200 110064020 113702500 125072750 137580025 200116400 220128040 227405000 250145500 275160050 312681875 440256080 454810000 500291000 550320100 625363750 687900125 1000582000 1100640200 1250727500 1375800250 2201280400 2501455000 2751600500 3439500625 5002910000 5503201000 6879001250 11006402000 13758002500 27516005000 55032010000