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20152333656 = 233371310110151
BaseRepresentation
bin10010110001001011…
…000011010101011000
31221000110011121202000
4102301023003111120
5312232444134111
613131410241000
71312252003230
oct226113032530
957013147660
1020152333656
118601515604
123aa4b86160
131b92112ab0
14d9261acc0
157ce30bc56
hex4b12c3558

20152333656 has 256 divisors, whose sum is σ = 69585868800. Its totient is φ = 5261760000.

The previous prime is 20152333627. The next prime is 20152333667. The reversal of 20152333656 is 65633325102.

It is a super-2 number, since 2×201523336562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20152333656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1980181 + ... + 1990331.

It is an arithmetic number, because the mean of its divisors is an integer number (271819800).

Almost surely, 220152333656 is an apocalyptic number.

20152333656 is a gapful number since it is divisible by the number (26) 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 20152333656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34792934400).

20152333656 is an abundant number, since it is smaller than the sum of its proper divisors (49433535144).

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

20152333656 is a wasteful number, since it uses less digits than its factorization.

20152333656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 20152333656 its reverse (65633325102), we get a palindrome (85785658758).

The spelling of 20152333656 in words is "twenty billion, one hundred fifty-two million, three hundred thirty-three thousand, six hundred fifty-six".