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152451342540 = 22355759151503
BaseRepresentation
bin1000110111111011001…
…1101110000011001100
3112120111121002121200000
42031332303232003030
54444210020430130
6154011333204300
714004613013340
oct2157663560314
9476447077600
10152451342540
1159721899082
1225667790690
13114b73a35c3
147543177620
153e73de8260
hex237ecee0cc

152451342540 has 576 divisors, whose sum is σ = 562167889920. Its totient is φ = 33960902400.

The previous prime is 152451342517. The next prime is 152451342541. The reversal of 152451342540 is 45243154251.

152451342540 is a `hidden beast` number, since 1 + 5 + 24 + 51 + 3 + 42 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152451342495 and 152451342504.

It is not an unprimeable number, because it can be changed into a prime (152451342541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303083929 + ... + 303084431.

It is an arithmetic number, because the mean of its divisors is an integer number (975985920).

Almost surely, 2152451342540 is an apocalyptic number.

152451342540 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 152451342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281083944960).

152451342540 is an abundant number, since it is smaller than the sum of its proper divisors (409716547380).

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

152451342540 is a wasteful number, since it uses less digits than its factorization.

152451342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 152451342540 its reverse (45243154251), we get a palindrome (197694496791).

The spelling of 152451342540 in words is "one hundred fifty-two billion, four hundred fifty-one million, three hundred forty-two thousand, five hundred forty".