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153212050600 = 23527487224717
BaseRepresentation
bin1000111010110000100…
…1100101110010101000
3112122110121111120221121
42032230021211302220
510002234241104400
6154215025545024
714032510641160
oct2165411456250
9478417446847
10153212050600
1159a82232324
122583a4a5174
13115a8b7a00b
1475b61d55a0
153ebaaad21a
hex23ac265ca8

153212050600 has 96 divisors (see below), whose sum is σ = 407944068480. Its totient is φ = 52421748480.

The previous prime is 153212050567. The next prime is 153212050627. The reversal of 153212050600 is 6050212351.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 569442 + ... + 794158.

It is an arithmetic number, because the mean of its divisors is an integer number (4249417380).

Almost surely, 2153212050600 is an apocalyptic number.

153212050600 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 153212050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203972034240).

153212050600 is an abundant number, since it is smaller than the sum of its proper divisors (254732017880).

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

153212050600 is a wasteful number, since it uses less digits than its factorization.

153212050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225227 (or 225218 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 153212050600 its reverse (6050212351), we get a palindrome (159262262951).

The spelling of 153212050600 in words is "one hundred fifty-three billion, two hundred twelve million, fifty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 487 700 974 1400 1948 2435 3409 3896 4870 6818 9740 12175 13636 17045 19480 24350 27272 34090 48700 68180 85225 97400 136360 170450 224717 340900 449434 681800 898868 1123585 1573019 1797736 2247170 3146038 4494340 5617925 6292076 7865095 8988680 11235850 12584152 15730190 22471700 31460380 39325475 44943400 62920760 78650950 109437179 157301900 218874358 314603800 437748716 547185895 766060253 875497432 1094371790 1532120506 2188743580 2735929475 3064241012 3830301265 4377487160 5471858950 6128482024 7660602530 10943717900 15321205060 19151506325 21887435800 30642410120 38303012650 76606025300 153212050600