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153325511240 = 2351117472571697
BaseRepresentation
bin1000111011001011101…
…0011010001001001000
3112122202111222222200112
42032302322122021020
510003002312324430
6154234201453452
714035356225206
oct2166272321110
9478674888615
10153325511240
115a030287a50
12258704a1288
13115c65245a5
1475c72cc076
153ec5a21195
hex23b2e9a248

153325511240 has 256 divisors, whose sum is σ = 408784942080. Its totient is φ = 51128565760.

The previous prime is 153325511239. The next prime is 153325511321. The reversal of 153325511240 is 42115523351.

It is a junction number, because it is equal to n+sod(n) for n = 153325511197 and 153325511206.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 90350072 + ... + 90351768.

It is an arithmetic number, because the mean of its divisors is an integer number (1596816180).

Almost surely, 2153325511240 is an apocalyptic number.

153325511240 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 153325511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204392471040).

153325511240 is an abundant number, since it is smaller than the sum of its proper divisors (255459430840).

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

153325511240 is a wasteful number, since it uses less digits than its factorization.

153325511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 153325511240 in words is "one hundred fifty-three billion, three hundred twenty-five million, five hundred eleven thousand, two hundred forty".