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153055320000 = 2635411283127
BaseRepresentation
bin1000111010001011001…
…1101101011111000000
3112122001200120211222120
42032202303231133000
510001424130220000
6154151310404240
714025565516512
oct2164263553700
9478050524876
10153055320000
1159a01813300
12257b5b00680
131158256270b
14759d477bb2
153eabe4e6a0
hex23a2ced7c0

153055320000 has 840 divisors, whose sum is σ = 567355987968. Its totient is φ = 36368640000.

The previous prime is 153055319971. The next prime is 153055320007. The reversal of 153055320000 is 23550351.

153055320000 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153055320007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1205159937 + ... + 1205160063.

Almost surely, 2153055320000 is an apocalyptic number.

153055320000 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 153055320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283677993984).

153055320000 is an abundant number, since it is smaller than the sum of its proper divisors (414300667968).

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

153055320000 is a wasteful number, since it uses less digits than its factorization.

153055320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

Adding to 153055320000 its reverse (23550351), we get a palindrome (153078870351).

The spelling of 153055320000 in words is "one hundred fifty-three billion, fifty-five million, three hundred twenty thousand".