Search a number
-
+
135497353950 = 232527291483277
BaseRepresentation
bin111111000110001000…
…1011000101011011110
3110221202001011202112200
41332030101120223132
54204444310311300
6142125134312330
712534515335230
oct1761421305336
9427661152480
10135497353950
11525117a6562
12223159586a6
13ca14a9ccaa
1467b5634250
1537d07ae200
hex1f8c458ade

135497353950 has 144 divisors (see below), whose sum is σ = 430387944480. Its totient is φ = 29902844160.

The previous prime is 135497353949. The next prime is 135497353987. The reversal of 135497353950 is 59353794531.

135497353950 is a `hidden beast` number, since 1 + 3 + 54 + 9 + 7 + 3 + 539 + 50 = 666.

135497353950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 650289 + ... + 832988.

It is an arithmetic number, because the mean of its divisors is an integer number (2988805170).

Almost surely, 2135497353950 is an apocalyptic number.

135497353950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135497353950 is an abundant number, since it is smaller than the sum of its proper divisors (294890590530).

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

135497353950 is a wasteful number, since it uses less digits than its factorization.

135497353950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483331 (or 1483323 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 135497353950 in words is "one hundred thirty-five billion, four hundred ninety-seven million, three hundred fifty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 29 30 35 42 45 50 58 63 70 75 87 90 105 126 145 150 174 175 203 210 225 261 290 315 350 406 435 450 522 525 609 630 725 870 1015 1050 1218 1305 1450 1575 1827 2030 2175 2610 3045 3150 3654 4350 5075 6090 6525 9135 10150 13050 15225 18270 30450 45675 91350 1483277 2966554 4449831 7416385 8899662 10382939 13349493 14832770 20765878 22249155 26698986 31148817 37081925 43015033 44498310 51914695 62297634 66747465 74163850 86030066 93446451 103829390 111245775 129045099 133494930 155744085 186892902 215075165 222491550 258090198 259573475 301105231 311488170 333737325 387135297 430150330 467232255 519146950 602210462 645225495 667474650 774270594 778720425 903315693 934464510 1075375825 1290450990 1505526155 1557440850 1806631386 1935676485 2150751650 2336161275 2709947079 3011052310 3226127475 3871352970 4516578465 4672322550 5419894158 6452254950 7527630775 9033156930 9678382425 13549735395 15055261550 19356764850 22582892325 27099470790 45165784650 67748676975 135497353950