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153630752320 = 2653141537127
BaseRepresentation
bin1000111100010100011…
…0110011111001000000
3112200112210100211201201
42033011012303321000
510004113433033240
6154324344110544
714046053563663
oct2170506637100
9480483324651
10153630752320
115a177611101
1225936765454
1311644838b06
147615a676da
153ee2717d9a
hex23c51b3e40

153630752320 has 224 divisors, whose sum is σ = 394199156736. Its totient is φ = 56916787200.

The previous prime is 153630752281. The next prime is 153630752383. The reversal of 153630752320 is 23257036351.

It is a self number, because there is not a number n which added to its sum of digits gives 153630752320.

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 31 ways as a sum of consecutive naturals, for example, 21552597 + ... + 21559723.

It is an arithmetic number, because the mean of its divisors is an integer number (1759817664).

Almost surely, 2153630752320 is an apocalyptic number.

153630752320 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 153630752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197099578368).

153630752320 is an abundant number, since it is smaller than the sum of its proper divisors (240568404416).

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

153630752320 is a wasteful number, since it uses less digits than its factorization.

153630752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 37.

Adding to 153630752320 its reverse (23257036351), we get a palindrome (176887788671).

The spelling of 153630752320 in words is "one hundred fifty-three billion, six hundred thirty million, seven hundred fifty-two thousand, three hundred twenty".