Search a number
-
+
135610520540 = 22511679200171
BaseRepresentation
bin111111001001100000…
…1000101001111011100
3110222000221010012220212
41332103001011033130
54210212243124130
6142144300031552
712540361256045
oct1762301051734
9428027105825
10135610520540
115256a670270
12223478325b8
13ca32373781
1467c66918cc
1537da6b4e95
hex1f930453dc

135610520540 has 48 divisors (see below), whose sum is σ = 315308294784. Its totient is φ = 48576897600.

The previous prime is 135610520533. The next prime is 135610520557. The reversal of 135610520540 is 45025016531.

It is a super-2 number, since 2×1356105205402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135610520497 and 135610520506.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4585346 + ... + 4614825.

It is an arithmetic number, because the mean of its divisors is an integer number (6568922808).

Almost surely, 2135610520540 is an apocalyptic number.

135610520540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135610520540 is an abundant number, since it is smaller than the sum of its proper divisors (179697774244).

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

135610520540 is a wasteful number, since it uses less digits than its factorization.

135610520540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200258 (or 9200256 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 135610520540 in words is "one hundred thirty-five billion, six hundred ten million, five hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 9200171 18400342 36800684 46000855 92001710 101201881 184003420 202403762 404807524 506009405 616411457 1012018810 1232822914 2024037620 2465645828 3082057285 6164114570 6780526027 12328229140 13561052054 27122104108 33902630135 67805260270 135610520540