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152435320000 = 26545097487
BaseRepresentation
bin1000110111110111011…
…0100110010011000000
3112120110110221120212121
42031331312212103000
54444141420220000
6154010001534024
714004326561365
oct2157566462300
9476413846777
10152435320000
1159713845107
1225662344314
13114b3c83702
147540da646c
153e727d0b1a
hex237dda64c0

152435320000 has 140 divisors (see below), whose sum is σ = 378783250560. Its totient is φ = 60846208000.

The previous prime is 152435319991. The next prime is 152435320033. The reversal of 152435320000 is 23534251.

152435320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20356257 + ... + 20363743.

Almost surely, 2152435320000 is an apocalyptic number.

152435320000 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 152435320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189391625280).

152435320000 is an abundant number, since it is smaller than the sum of its proper divisors (226347930560).

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

152435320000 is an frugal number, since it uses more digits than its factorization.

152435320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 152435320000 its reverse (23534251), we get a palindrome (152458854251).

The spelling of 152435320000 in words is "one hundred fifty-two billion, four hundred thirty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 509 625 800 1000 1018 1250 1600 2000 2036 2500 2545 4000 4072 5000 5090 7487 8000 8144 10000 10180 12725 14974 16288 20000 20360 25450 29948 32576 37435 40000 40720 50900 59896 63625 74870 81440 101800 119792 127250 149740 162880 187175 203600 239584 254500 299480 318125 374350 407200 479168 509000 598960 636250 748700 814400 935875 1018000 1197920 1272500 1497400 1871750 2036000 2395840 2545000 2994800 3743500 3810883 4072000 4679375 5090000 5989600 7487000 7621766 9358750 10180000 11979200 14974000 15243532 18717500 19054415 20360000 29948000 30487064 37435000 38108830 59896000 60974128 74870000 76217660 95272075 121948256 149740000 152435320 190544150 243896512 299480000 304870640 381088300 476360375 609741280 762176600 952720750 1219482560 1524353200 1905441500 2381801875 3048706400 3810883000 4763603750 6097412800 7621766000 9527207500 15243532000 19054415000 30487064000 38108830000 76217660000 152435320000