Search a number
-
+
53999070129 = 3229226712
BaseRepresentation
bin110010010010100110…
…000110101110110001
312011101021202222112100
4302102212012232301
51341042230221004
640450135251013
73621101344224
oct622246065661
9164337688470
1053999070129
11209a0081694
12a570219a69
135127427104
1428838c15bb
1516109d4739
hexc92986bb1

53999070129 has 27 divisors (see below), whose sum is σ = 80811265899. Its totient is φ = 34745009040.

The previous prime is 53999070127. The next prime is 53999070133. The reversal of 53999070129 is 92107099935.

The square root of 53999070129 is 232377.

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

53999070129 is a `hidden beast` number, since 539 + 9 + 90 + 7 + 0 + 12 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28315802529 + 25683267600 = 168273^2 + 160260^2 .

It is not a de Polignac number, because 53999070129 - 21 = 53999070127 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53999070121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20215464 + ... + 20218134.

Almost surely, 253999070129 is an apocalyptic number.

53999070129 is the 232377-th square number.

53999070129 is the 116189-th centered octagonal number.

It is an amenable number.

53999070129 is a deficient number, since it is larger than the sum of its proper divisors (26812195770).

53999070129 is an frugal number, since it uses more digits than its factorization.

53999070129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 53999070129 in words is "fifty-three billion, nine hundred ninety-nine million, seventy thousand, one hundred twenty-nine".

Divisors: 1 3 9 29 87 261 841 2523 2671 7569 8013 24039 77459 232377 697131 2246311 6738933 7134241 20216799 21402723 64208169 206892989 620678967 1862036901 5999896681 17999690043 53999070129