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55061105000 = 2354111815531
BaseRepresentation
bin110011010001111001…
…011100100101101000
312021010022011221111012
4303101321130211220
51400231120330000
641143354323052
73656315445626
oct632171344550
9167108157435
1055061105000
1121395616160
12a807a29488
135266474505
14294497a516
151673d6b735
hexcd1e5c968

55061105000 has 160 divisors (see below), whose sum is σ = 141539317920. Its totient is φ = 19908000000.

The previous prime is 55061104957. The next prime is 55061105003. The reversal of 55061105000 is 50116055.

55061105000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55061105003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9952235 + ... + 9957765.

It is an arithmetic number, because the mean of its divisors is an integer number (884620737).

Almost surely, 255061105000 is an apocalyptic number.

55061105000 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 55061105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70769658960).

55061105000 is an abundant number, since it is smaller than the sum of its proper divisors (86478212920).

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

55061105000 is a wasteful number, since it uses less digits than its factorization.

55061105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

It can be divided in two parts, 55061 and 105000, that added together give a palindrome (160061).

The spelling of 55061105000 in words is "fifty-five billion, sixty-one million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 181 200 220 250 275 362 440 500 550 625 724 905 1000 1100 1250 1375 1448 1810 1991 2200 2500 2750 3620 3982 4525 5000 5500 5531 6875 7240 7964 9050 9955 11000 11062 13750 15928 18100 19910 22124 22625 27500 27655 36200 39820 44248 45250 49775 55000 55310 60841 79640 90500 99550 110620 113125 121682 138275 181000 199100 221240 226250 243364 248875 276550 304205 398200 452500 486728 497750 553100 608410 691375 905000 995500 1001111 1106200 1216820 1244375 1382750 1521025 1991000 2002222 2433640 2488750 2765500 3042050 3456875 4004444 4977500 5005555 5531000 6084100 6913750 7605125 8008888 9955000 10011110 11012221 12168200 13827500 15210250 20022220 22024442 25027775 27655000 30420500 38025625 40044440 44048884 50055550 55061105 60841000 76051250 88097768 100111100 110122210 125138875 152102500 200222200 220244420 250277750 275305525 304205000 440488840 500555500 550611050 625694375 1001111000 1101222100 1251388750 1376527625 2202444200 2502777500 2753055250 5005555000 5506110500 6882638125 11012221000 13765276250 27530552500 55061105000