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45961202993400 = 233252314159198047
BaseRepresentation
bin10100111001101001011010…
…01011011000100011111000
320000201211220021001102102100
422130310231023120203320
522011012020431242100
6241430141332503400
712452405312330412
oct1234645513304370
9200654807042370
1045961202993400
111371004497a202
1251a3709a7ab60
131c85179b76b06
14b4c7697a99b2
1554a852aea400
hex29cd2d2d88f8

45961202993400 has 288 divisors, whose sum is σ = 159371285299200. Its totient is φ = 11858043859200.

The previous prime is 45961202993357. The next prime is 45961202993413. The reversal of 45961202993400 is 439920216954.

45961202993400 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 1 + 2 + 0 + 299 + 340 + 0 = 666.

45961202993400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459612029934002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231973177 + ... + 232171223.

It is an arithmetic number, because the mean of its divisors is an integer number (553372518400).

Almost surely, 245961202993400 is an apocalyptic number.

45961202993400 is a gapful number since it is divisible by the number (40) 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 45961202993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79685642649600).

45961202993400 is an abundant number, since it is smaller than the sum of its proper divisors (113410082305800).

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

45961202993400 is a wasteful number, since it uses less digits than its factorization.

45961202993400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202259 (or 202247 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 45961202993400 in words is "forty-five trillion, nine hundred sixty-one billion, two hundred two million, nine hundred ninety-three thousand, four hundred".