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201053561436 = 2232713231152287
BaseRepresentation
bin1011101100111110111…
…0011110001001011100
3201012221202202011002100
42323033232132021130
511243224202431221
6232210203325100
720345203034460
oct2731756361134
9635852664070
10201053561436
11782a2548532
1232b70520790
1315c61690800
149a33db24a0
15536abd5926
hex2ecfb9e25c

201053561436 has 216 divisors, whose sum is σ = 649229328384. Its totient is φ = 51314290560.

The previous prime is 201053561407. The next prime is 201053561459. The reversal of 201053561436 is 634165350102.

201053561436 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 5 + 3 + 5 + 614 + 36 = 666.

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 201053561436.

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, 1244085 + ... + 1396371.

Almost surely, 2201053561436 is an apocalyptic number.

201053561436 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 201053561436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324614664192).

201053561436 is an abundant number, since it is smaller than the sum of its proper divisors (448175766948).

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

201053561436 is a wasteful number, since it uses less digits than its factorization.

201053561436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152361 (or 152343 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 201053561436 in words is "two hundred one billion, fifty-three million, five hundred sixty-one thousand, four hundred thirty-six".