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54820741234609 = 72672157872
BaseRepresentation
bin11000111011011111100101…
…10011101011111110110001
321012002210220201021121001001
430131233302303223332301
524141140334224001414
6312332144552242001
714355445034004100
oct1435576263537661
9235083821247031
1054820741234609
1116516389286a59
1261947633a0301
13247875c5bb85c
14d774a37c4037
1565102ec93074
hex31dbf2cebfb1

54820741234609 has 27 divisors (see below), whose sum is σ = 64741180285593. Its totient is φ = 46284943303368.

The previous prime is 54820741234607. The next prime is 54820741234703. The reversal of 54820741234609 is 90643214702845.

The square root of 54820741234609 is 7404103.

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

It is not a de Polignac number, because 54820741234609 - 21 = 54820741234607 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54820741234609.

It is not an unprimeable number, because it can be changed into a prime (54820741234607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3472516414 + ... + 3472532200.

It is an arithmetic number, because the mean of its divisors is an integer number (2397821492059).

It is a 1-persistent number, because it is pandigital, but 2⋅54820741234609 = 109641482469218 is not.

Almost surely, 254820741234609 is an apocalyptic number.

54820741234609 is the 7404103-rd square number.

54820741234609 is the 3702052-nd centered octagonal number.

It is an amenable number.

54820741234609 is a deficient number, since it is larger than the sum of its proper divisors (9920439050984).

54820741234609 is an frugal number, since it uses more digits than its factorization.

54820741234609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31722 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 54820741234609 in words is "fifty-four trillion, eight hundred twenty billion, seven hundred forty-one million, two hundred thirty-four thousand, six hundred nine".

Divisors: 1 7 49 67 469 3283 4489 15787 31423 110509 219961 773563 1057729 7404103 51828721 70867843 249229369 496074901 1744605583 3472524307 12212239081 16698367723 116888574061 818220018427 1118790637441 7831534462087 54820741234609