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2536210852452 = 2234197121792663
BaseRepresentation
bin100100111010000001111…
…100100110101001100100
322222110101220011110110000
4210322001330212221210
5313023124434234302
65221041424301300
7351143445356004
oct44720174465144
98873356143400
102536210852452
118986679a8722
1234b64ba71830
13155218729b54
148aa78d36004
1545e8cb2231c
hex24e81f26a64

2536210852452 has 240 divisors, whose sum is σ = 7083315993600. Its totient is φ = 788969522880.

The previous prime is 2536210852387. The next prime is 2536210852453. The reversal of 2536210852452 is 2542580126352.

2536210852452 is a `hidden beast` number, since 2 + 5 + 3 + 62 + 10 + 8 + 524 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2536210852398 and 2536210852407.

It is not an unprimeable number, because it can be changed into a prime (2536210852453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 952387273 + ... + 952389935.

It is an arithmetic number, because the mean of its divisors is an integer number (29513816640).

Almost surely, 22536210852452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2536210852452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541657996800).

2536210852452 is an abundant number, since it is smaller than the sum of its proper divisors (4547105141148).

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

2536210852452 is a wasteful number, since it uses less digits than its factorization.

2536210852452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 2536210852452 in words is "two trillion, five hundred thirty-six billion, two hundred ten million, eight hundred fifty-two thousand, four hundred fifty-two".