Search a number
-
+
135055855935 = 325711132998243
BaseRepresentation
bin111110111000111110…
…1001101000100111111
3110220121021102100010100
41331301331031010333
54203043244342220
6142013243412143
712520544556060
oct1756175150477
9426537370110
10135055855935
1152305567570
1222211b24053
13c97448c070
146772b4a567
1537a6b4ed90
hex1f71f4d13f

135055855935 has 96 divisors (see below), whose sum is σ = 314311915008. Its totient is φ = 51809621760.

The previous prime is 135055855931. The next prime is 135055855939. The reversal of 135055855935 is 539558550531.

135055855935 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 58 + 559 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (135055855931) and next prime (135055855939).

It is not a de Polignac number, because 135055855935 - 22 = 135055855931 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135055855931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1454077 + ... + 1544166.

It is an arithmetic number, because the mean of its divisors is an integer number (3274082448).

Almost surely, 2135055855935 is an apocalyptic number.

135055855935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135055855935 is an abundant number, since it is smaller than the sum of its proper divisors (179256059073).

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

135055855935 is a wasteful number, since it uses less digits than its factorization.

135055855935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998285 (or 2998282 counting only the distinct ones).

The product of its (nonzero) digits is 10125000, while the sum is 54.

The spelling of 135055855935 in words is "one hundred thirty-five billion, fifty-five million, eight hundred fifty-five thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 195 231 273 315 385 429 455 495 585 693 715 819 1001 1155 1287 1365 2145 3003 3465 4095 5005 6435 9009 15015 45045 2998243 8994729 14991215 20987701 26984187 32980673 38977159 44973645 62963103 98942019 104938505 116931477 134920935 164903365 188889309 194885795 230864711 272840113 296826057 314815515 350794431 428748749 494710095 584657385 692594133 818520339 944446545 1154323555 1286246247 1364200565 1484130285 1753972155 2077782399 2143743745 2455561017 3001241243 3462970665 3858738741 4092601695 6431231235 9003723729 10388911995 12277805085 15006206215 19293693705 27011171187 45018618645 135055855935