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20544427121040 = 2432528533926557
BaseRepresentation
bin1001010101111010111110…
…10001111101100110010000
32200202000202110010210202200
410222331133101331212100
510143044441320333130
6111405551324443200
74220200025135424
oct452753721754620
980660673123680
1020544427121040
11660092a577099
1223797930a9500
13b6043c7517c4
145104d99c6b84
1525961ae95760
hex12af5f47d990

20544427121040 has 60 divisors (see below), whose sum is σ = 68995034417244. Its totient is φ = 5478513898752.

The previous prime is 20544427121039. The next prime is 20544427121047. The reversal of 20544427121040 is 4012172444502.

20544427121040 is a `hidden beast` number, since 2 + 0 + 54 + 442 + 7 + 121 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15631838578944 + 4912588542096 = 3953712^2 + 2216436^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20544427120986 and 20544427121004.

It is not an unprimeable number, because it can be changed into a prime (20544427121047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14266962559 + ... + 14266963998.

Almost surely, 220544427121040 is an apocalyptic number.

20544427121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20544427121040 is an abundant number, since it is smaller than the sum of its proper divisors (48450607296204).

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

20544427121040 is a wasteful number, since it uses less digits than its factorization.

20544427121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28533926576 (or 28533926567 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 20544427121040 its reverse (4012172444502), we get a palindrome (24556599565542).

The spelling of 20544427121040 in words is "twenty trillion, five hundred forty-four billion, four hundred twenty-seven million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28533926557 57067853114 85601779671 114135706228 142669632785 171203559342 228271412456 256805339013 285339265570 342407118684 428008898355 456542824912 513610678026 570678531140 684814237368 856017796710 1027221356052 1141357062280 1284026695065 1369628474736 1712035593420 2054442712104 2282714124560 2568053390130 3424071186840 4108885424208 5136106780260 6848142373680 10272213560520 20544427121040