Search a number
-
+
155467320960 = 2735711567509
BaseRepresentation
bin1001000011001010010…
…0110000111010000000
3112212021210012012021110
42100302210300322000
510021344113232320
6155230512123320
714142424265340
oct2206244607200
9485253165243
10155467320960
115aa2a282326
1226169836540
1311878190913
14774b93cd20
15409da965e0
hex2432930e80

155467320960 has 128 divisors (see below), whose sum is σ = 566345289600. Its totient is φ = 35535384576.

The previous prime is 155467320923. The next prime is 155467320971. The reversal of 155467320960 is 69023764551.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5770315 + ... + 5797194.

It is an arithmetic number, because the mean of its divisors is an integer number (4424572575).

Almost surely, 2155467320960 is an apocalyptic number.

155467320960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155467320960 is an abundant number, since it is smaller than the sum of its proper divisors (410877968640).

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

155467320960 is a wasteful number, since it uses less digits than its factorization.

155467320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567538 (or 11567526 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 155467320960 in words is "one hundred fifty-five billion, four hundred sixty-seven million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 11567509 23135018 34702527 46270036 57837545 69405054 80972563 92540072 115675090 138810108 161945126 173512635 185080144 231350180 242917689 277620216 323890252 347025270 370160288 404862815 462700360 485835378 555240432 647780504 694050540 740320576 809725630 925400720 971670756 1110480864 1214588445 1295561008 1388101080 1480641152 1619451260 1850801440 1943341512 2220961728 2429176890 2591122016 2776202160 3238902520 3701602880 3886683024 4441923456 4858353780 5182244032 5552404320 6477805040 7403205760 7773366048 9716707560 10364488064 11104808640 12955610080 15546732096 19433415120 22209617280 25911220160 31093464192 38866830240 51822440320 77733660480 155467320960