Search a number
-
+
161404537734 = 23411659137443
BaseRepresentation
bin1001011001010001110…
…1011100101110000110
3120102121120010001120000
42112110131130232012
510121024030201414
6202052003222130
714442516635256
oct2262435345606
9512546101500
10161404537734
11624a6721150
1227346077946
13122b324693b
147b52287966
1542e9e2bb09
hex259475cb86

161404537734 has 80 divisors (see below), whose sum is σ = 395146002240. Its totient is φ = 48835891440.

The previous prime is 161404537727. The next prime is 161404537739. The reversal of 161404537734 is 437735404161.

161404537734 is a `hidden beast` number, since 1 + 6 + 1 + 40 + 4 + 537 + 73 + 4 = 666.

161404537734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1614045377342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161404537734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161404537739) 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 39 ways as a sum of consecutive naturals, for example, 1105617 + ... + 1243059.

It is an arithmetic number, because the mean of its divisors is an integer number (4939325028).

Almost surely, 2161404537734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161404537734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197573001120).

161404537734 is an abundant number, since it is smaller than the sum of its proper divisors (233741464506).

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

161404537734 is a wasteful number, since it uses less digits than its factorization.

161404537734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138127 (or 138118 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 161404537734 in words is "one hundred sixty-one billion, four hundred four million, five hundred thirty-seven thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 659 891 1318 1782 1977 3954 5931 7249 11862 14498 17793 21747 35586 43494 53379 65241 106758 130482 137443 195723 274886 391446 412329 587169 824658 1174338 1236987 1511873 2473974 3023746 3710961 4535619 7421922 9071238 11132883 13606857 22265766 27213714 40820571 81641142 90574937 122461713 181149874 244923426 271724811 543449622 815174433 996324307 1630348866 1992648614 2445523299 2988972921 4891046598 5977945842 7336569897 8966918763 14673139794 17933837526 26900756289 53801512578 80702268867 161404537734