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20236074150240 = 2532513231071732539
BaseRepresentation
bin1001001100111100101000…
…00000101110100101100000
32122122112211210121220012200
410212132110000232211200
510123021434440301430
6111012154002253200
74156002532133364
oct446362400564540
978575753556180
1020236074150240
1164a2086339243
122329a78357200
13b3a33b226630
144dd6073792a4
152515c0317460
hex12679402e960

20236074150240 has 1152 divisors, whose sum is σ = 78809967774720. Its totient is φ = 4690952994816.

The previous prime is 20236074150239. The next prime is 20236074150359. The reversal of 20236074150240 is 4205147063202.

20236074150240 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 607 + 4 + 1 + 5 + 0 + 2 + 40 = 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 = 20236074150195 and 20236074150204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7970094891 + ... + 7970097429.

It is an arithmetic number, because the mean of its divisors is an integer number (68411430360).

Almost surely, 220236074150240 is an apocalyptic number.

20236074150240 is a gapful number since it is divisible by the number (20) 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 20236074150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39404983887360).

20236074150240 is an abundant number, since it is smaller than the sum of its proper divisors (58573893624480).

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

20236074150240 is a wasteful number, since it uses less digits than its factorization.

20236074150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20236074150240 in words is "twenty trillion, two hundred thirty-six billion, seventy-four million, one hundred fifty thousand, two hundred forty".