Search a number
-
+
135501513150450 = 23527319762815063
BaseRepresentation
bin11110110011110011100111…
…100011101100111111110010
3122202202211002102121010121210
4132303303213203230333302
5120230024044331303300
61200104311421500550
740353442546001526
oct3663634743547762
9582684072533553
10135501513150450
113a1a1961724547
1213245126711756
135a7b979111cc5
142566445ad1d86
15109ea8a694050
hex7b3ce78ecff2

135501513150450 has 96 divisors (see below), whose sum is σ = 342376270194816. Its totient is φ = 35457846197760.

The previous prime is 135501513150439. The next prime is 135501513150469. The reversal of 135501513150450 is 54051315105531.

It is a junction number, because it is equal to n+sod(n) for n = 135501513150399 and 135501513150408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29250382 + ... + 33564681.

It is an arithmetic number, because the mean of its divisors is an integer number (3566419481196).

Almost surely, 2135501513150450 is an apocalyptic number.

135501513150450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135501513150450 is an abundant number, since it is smaller than the sum of its proper divisors (206874757044366).

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

135501513150450 is a wasteful number, since it uses less digits than its factorization.

135501513150450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62815348 (or 62815343 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

Adding to 135501513150450 its reverse (54051315105531), we get a palindrome (189552828255981).

The spelling of 135501513150450 in words is "one hundred thirty-five trillion, five hundred one billion, five hundred thirteen million, one hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 146 150 197 219 365 394 438 591 730 985 1095 1182 1825 1970 2190 2955 3650 4925 5475 5910 9850 10950 14381 14775 28762 29550 43143 71905 86286 143810 215715 359525 431430 719050 1078575 2157150 62815063 125630126 188445189 314075315 376890378 628150630 942225945 1570376575 1884451890 3140753150 4585499599 4711129725 9170999198 9422259450 12374567411 13756498797 22927497995 24749134822 27512997594 37123702233 45854995990 61872837055 68782493985 74247404466 114637489975 123745674110 137564987970 185618511165 229274979950 309364185275 343912469925 371237022330 618728370550 687824939850 903343421003 928092555825 1806686842006 1856185111650 2710030263009 4516717105015 5420060526018 9033434210030 13550151315045 22583585525075 27100302630090 45167171050150 67750756575225 135501513150450