Search a number
-
+
53505110034 = 235532777499
BaseRepresentation
bin110001110101001001…
…110011000000010010
312010002212022012200000
4301311021303000102
51334034302010114
640325132110430
73602622634305
oct616511630022
9163085265600
1053505110034
1120767270102
12a452905416
135078ca822c
14283805cb3c
1515d2460e09
hexc75273012

53505110034 has 96 divisors (see below), whose sum is σ = 122948280000. Its totient is φ = 17433029952.

The previous prime is 53505110017. The next prime is 53505110039. The reversal of 53505110034 is 43001150535.

53505110034 is a `hidden beast` number, since 53 + 505 + 1 + 100 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53505110039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7131217 + ... + 7138715.

It is an arithmetic number, because the mean of its divisors is an integer number (1280711250).

Almost surely, 253505110034 is an apocalyptic number.

53505110034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53505110034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61474140000).

53505110034 is an abundant number, since it is smaller than the sum of its proper divisors (69443169966).

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

53505110034 is a wasteful number, since it uses less digits than its factorization.

53505110034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 53505110034 its reverse (43001150535), we get a palindrome (96506260569).

The spelling of 53505110034 in words is "fifty-three billion, five hundred five million, one hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 277 318 477 486 554 831 954 1431 1662 2493 2862 4293 4986 7479 7499 8586 12879 14681 14958 14998 22437 22497 25758 29362 44043 44874 44994 67311 67491 88086 132129 134622 134982 202473 264258 396387 397447 404946 607419 792774 794894 1189161 1192341 1214838 1822257 2077223 2378322 2384682 3567483 3577023 3644514 4154446 6231669 7134966 7154046 10731069 12463338 18695007 21462138 32193207 37390014 56085021 64386414 96579621 110092819 112170042 168255063 193159242 220185638 330278457 336510126 504765189 660556914 990835371 1009530378 1981670742 2972506113 5945012226 8917518339 17835036678 26752555017 53505110034