Search a number
-
+
152858320000 = 27541910729
BaseRepresentation
bin1000111001011100010…
…0001101110010000000
3112121112221220012210021
42032113010031302000
510001023212220000
6154115552143224
714020654165501
oct2162704156200
9477487805707
10152858320000
115991059a291
122575bb37b14
13115507b8a79
147581236ba8
153e999d911a
hex239710dc80

152858320000 has 80 divisors (see below), whose sum is σ = 380531433150. Its totient is φ = 61143296000.

The previous prime is 152858319989. The next prime is 152858320001. The reversal of 152858320000 is 23858251.

It can be written as a sum of positive squares in 5 ways, for example, as 21623114304 + 131235205696 = 147048^2 + 362264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (152858320001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 875365 + ... + 1035364.

Almost surely, 2152858320000 is an apocalyptic number.

152858320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152858320000 is an abundant number, since it is smaller than the sum of its proper divisors (227673113150).

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

152858320000 is an frugal number, since it uses more digits than its factorization.

152858320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910763 (or 1910736 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 152858320000 in words is "one hundred fifty-two billion, eight hundred fifty-eight million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 1910729 3821458 7642916 9553645 15285832 19107290 30571664 38214580 47768225 61143328 76429160 95536450 122286656 152858320 191072900 238841125 244573312 305716640 382145800 477682250 611433280 764291600 955364500 1194205625 1222866560 1528583200 1910729000 2388411250 3057166400 3821458000 4776822500 6114332800 7642916000 9553645000 15285832000 19107290000 30571664000 38214580000 76429160000 152858320000