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153364534131000 = 23353714967144961
BaseRepresentation
bin100010110111101111110110…
…100100111111100100111000
3202010000111200002000121210210
4202313233312210333210320
5130100211031214143000
61302102405551111120
744206136061043503
oct4267576644774470
9663014602017723
10153364534131000
1144959596347aa5
121524b0a82124a0
1367762a111b73a
1429c2c5117a13a
1512ae56bb66350
hex8b7bf693f938

153364534131000 has 256 divisors, whose sum is σ = 485337785886720. Its totient is φ = 40312796160000.

The previous prime is 153364534130963. The next prime is 153364534131013. The reversal of 153364534131000 is 131435463351.

It is a super-2 number, since 2×1533645341310002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 153364534131000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057898520 + ... + 1058043480.

It is an arithmetic number, because the mean of its divisors is an integer number (1895850726120).

Almost surely, 2153364534131000 is an apocalyptic number.

153364534131000 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 153364534131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242668892943360).

153364534131000 is an abundant number, since it is smaller than the sum of its proper divisors (331973251755720).

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

153364534131000 is a wasteful number, since it uses less digits than its factorization.

153364534131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150023 (or 150009 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 153364534131000 its reverse (131435463351), we get a palindrome (153495969594351).

The spelling of 153364534131000 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, five hundred thirty-four million, one hundred thirty-one thousand".