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2729730685428 = 2232421180108913
BaseRepresentation
bin100111101110010000101…
…000001011100111110100
3100122221220121212112221100
4213232100220023213310
5324210442023413203
65450004310050100
7401134161662535
oct47562050134764
910587817775840
102729730685428
1196274389848a
12381059349930
1316a549350566
149619653668c
154b017211ea3
hex27b90a0b9f4

2729730685428 has 36 divisors (see below), whose sum is σ = 6916542515428. Its totient is φ = 907748916480.

The previous prime is 2729730685399. The next prime is 2729730685439. The reversal of 2729730685428 is 8245860379272.

2729730685428 is a `hidden beast` number, since 2 + 7 + 29 + 7 + 3 + 0 + 68 + 542 + 8 = 666.

2729730685428 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 2 ways, for example, as 1075862668644 + 1653868016784 = 1037238^2 + 1286028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×27297306854282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90039301 + ... + 90069612.

Almost surely, 22729730685428 is an apocalyptic number.

It is an amenable number.

2729730685428 is an abundant number, since it is smaller than the sum of its proper divisors (4186811830000).

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

2729730685428 is a wasteful number, since it uses less digits than its factorization.

2729730685428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180109344 (or 180109339 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2729730685428 in words is "two trillion, seven hundred twenty-nine billion, seven hundred thirty million, six hundred eighty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2526 3789 5052 7578 15156 180108913 360217826 540326739 720435652 1080653478 1620980217 2161306956 3241960434 6483920868 75825852373 151651704746 227477557119 303303409492 454955114238 682432671357 909910228476 1364865342714 2729730685428