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152973207636488 = 231922301492
BaseRepresentation
bin100010110010000011011001…
…101100111000101000001000
3202001122002120212011222112222
4202302003121230320220020
5130022303112123331423
61301202531010153212
744135643455525501
oct4262033154705010
9661562525158488
10152973207636488
1144818633786758
12151a7295882808
136748408717385
1429abd2acbdba8
1512a42b69553c8
hex8b20d9b38a08

152973207636488 has 36 divisors (see below), whose sum is σ = 302716648285965. Its totient is φ = 72460678247136.

The previous prime is 152973207636481. The next prime is 152973207636497. The reversal of 152973207636488 is 884636702379251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 140601681723364 + 12371525913124 = 11857558^2 + 3517318^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8745662.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152973207636481) 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 8 ways as a sum of consecutive naturals, for example, 664555238 + ... + 664785386.

It is a 1-persistent number, because it is pandigital, but 2⋅152973207636488 = 305946415272976 is not.

Almost surely, 2152973207636488 is an apocalyptic number.

It is an amenable number.

152973207636488 is a deficient number, since it is larger than the sum of its proper divisors (149743440649477).

152973207636488 is an frugal number, since it uses more digits than its factorization.

152973207636488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460342 (or 230170 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 71.

The spelling of 152973207636488 in words is "one hundred fifty-two trillion, nine hundred seventy-three billion, two hundred seven million, six hundred thirty-six thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 19 38 76 152 361 722 1444 2888 230149 460298 920596 1841192 4372831 8745662 17491324 34982648 83083789 166167578 332335156 664670312 52968562201 105937124402 211874248804 423748497608 1006402681819 2012805363638 4025610727276 8051221454552 19121650954561 38243301909122 76486603818244 152973207636488