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152453257320 = 2335713382609
BaseRepresentation
bin1000110111111011101…
…1000001100001101000
3112120111201200220020210
42031332323001201220
54444211013213240
6154011442221120
714004635206650
oct2157673014150
9476451626223
10152453257320
1159722986741
12256683547a0
13114b78c4000
147543515360
153e74175780
hex237eec1868

152453257320 has 256 divisors, whose sum is σ = 566241984000. Its totient is φ = 32165572608.

The previous prime is 152453257301. The next prime is 152453257337. The reversal of 152453257320 is 23752354251.

152453257320 is digitally balanced in base 2 and base 3, because in such bases 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 (39).

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 63 ways as a sum of consecutive naturals, for example, 1804176 + ... + 1886784.

It is an arithmetic number, because the mean of its divisors is an integer number (2211882750).

Almost surely, 2152453257320 is an apocalyptic number.

152453257320 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 152453257320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283120992000).

152453257320 is an abundant number, since it is smaller than the sum of its proper divisors (413788726680).

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

152453257320 is a wasteful number, since it uses less digits than its factorization.

152453257320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82669 (or 82639 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 152453257320 in words is "one hundred fifty-two billion, four hundred fifty-three million, two hundred fifty-seven thousand, three hundred twenty".