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54054333540 = 223252931024921
BaseRepresentation
bin110010010101111000…
…111010110001100100
312011112010202122200100
4302111320322301210
51341200402133130
640455431544100
73622342153104
oct622570726144
9164463678610
1054054333540
1120a19297929
12a58682b030
135135a0615c
14288ad89204
15161579dc60
hexc95e3ac64

54054333540 has 72 divisors (see below), whose sum is σ = 164524579128. Its totient is φ = 14365278720.

The previous prime is 54054333533. The next prime is 54054333551. The reversal of 54054333540 is 4533345045.

54054333540 is a `hidden beast` number, since 5 + 40 + 5 + 43 + 33 + 540 = 666.

54054333540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19887768576 + 34166564964 = 141024^2 + 184842^2 .

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 = 54054333495 and 54054333504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459721 + ... + 565200.

It is an arithmetic number, because the mean of its divisors is an integer number (2285063599).

Almost surely, 254054333540 is an apocalyptic number.

It is an amenable number.

54054333540 is an abundant number, since it is smaller than the sum of its proper divisors (110470245588).

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

54054333540 is a wasteful number, since it uses less digits than its factorization.

54054333540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025229 (or 1025224 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 54054333540 its reverse (4533345045), we get a palindrome (58587678585).

The spelling of 54054333540 in words is "fifty-four billion, fifty-four million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 26370 52740 1024921 2049842 3074763 4099684 5124605 6149526 9224289 10249210 12299052 15373815 18448578 20498420 30747630 36897156 46121445 61495260 92242890 184485780 300301853 600603706 900905559 1201207412 1501509265 1801811118 2702716677 3003018530 3603622236 4504527795 5405433354 6006037060 9009055590 10810866708 13513583385 18018111180 27027166770 54054333540