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54175821049 = 724128112
BaseRepresentation
bin110010011101001000…
…010110110011111001
312011211121100212012201
4302131020112303321
51341423002233144
640515451510201
73625345611100
oct623510266371
9164747325181
1054175821049
1120a80925229
12a5bb458361
135154c3115c
14289d171037
15162129a1d4
hexc9d216cf9

54175821049 has 27 divisors (see below), whose sum is σ = 64675184463. Its totient is φ = 45247960800.

The previous prime is 54175821031. The next prime is 54175821067. The reversal of 54175821049 is 94012857145.

The square root of 54175821049 is 232757.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (54175821031) and next prime (54175821067).

It can be written as a sum of positive squares in only one way, i.e., 2610494649 + 51565326400 = 51093^2 + 227080^2 .

It is not a de Polignac number, because 54175821049 - 223 = 54167432441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54175827049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66800854 + ... + 66801664.

Almost surely, 254175821049 is an apocalyptic number.

54175821049 is the 232757-th square number.

54175821049 is the 116379-th centered octagonal number.

It is an amenable number.

54175821049 is a deficient number, since it is larger than the sum of its proper divisors (10499363414).

54175821049 is an frugal number, since it uses more digits than its factorization.

54175821049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 54175821049 in words is "fifty-four billion, one hundred seventy-five million, eight hundred twenty-one thousand, forty-nine".

Divisors: 1 7 41 49 287 811 1681 2009 5677 11767 33251 39739 82369 232757 657721 1363291 1629299 4604047 9543037 26966561 32228329 66801259 188765927 1105629001 1321361489 7739403007 54175821049