Search a number
-
+
155691352200 = 233521061244567
BaseRepresentation
bin1001000011111111101…
…1011000000010001000
3112212212101202011100210
42100333323120002020
510022323441232300
6155305034001120
714151114441546
oct2207773300210
9485771664323
10155691352200
116003478930a
12262108761a0
13118b2710197
14776d5b8d96
1540b359b050
hex243fed8088

155691352200 has 96 divisors (see below), whose sum is σ = 483100061760. Its totient is φ = 41478393600.

The previous prime is 155691352181. The next prime is 155691352207. The reversal of 155691352200 is 2253196551.

It is not an unprimeable number, because it can be changed into a prime (155691352207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514317 + ... + 758883.

It is an arithmetic number, because the mean of its divisors is an integer number (5032292310).

Almost surely, 2155691352200 is an apocalyptic number.

155691352200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155691352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241550030880).

155691352200 is an abundant number, since it is smaller than the sum of its proper divisors (327408709560).

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

155691352200 is a wasteful number, since it uses less digits than its factorization.

155691352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245647 (or 245638 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 155691352200 in words is "one hundred fifty-five billion, six hundred ninety-one million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1061 2122 3183 4244 5305 6366 8488 10610 12732 15915 21220 25464 26525 31830 42440 53050 63660 79575 106100 127320 159150 212200 244567 318300 489134 636600 733701 978268 1222835 1467402 1956536 2445670 2934804 3668505 4891340 5869608 6114175 7337010 9782680 12228350 14674020 18342525 24456700 29348040 36685050 48913400 73370100 146740200 259485587 518971174 778456761 1037942348 1297427935 1556913522 2075884696 2594855870 3113827044 3892283805 5189711740 6227654088 6487139675 7784567610 10379423480 12974279350 15569135220 19461419025 25948558700 31138270440 38922838050 51897117400 77845676100 155691352200