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53356631040 = 210345128657
BaseRepresentation
bin110001101100010011…
…011001010000000000
312002201111220200210000
4301230103121100000
51333233244143130
640302305440000
73566140611036
oct615423312000
9162644820700
1053356631040
11206a0477699
12a411040000
1350542bc73b
14282244c556
1515c43d2260
hexc6c4d9400

53356631040 has 220 divisors, whose sum is σ = 191201484276. Its totient is φ = 14228324352.

The previous prime is 53356631023. The next prime is 53356631113. The reversal of 53356631040 is 4013665335.

53356631040 is a `hidden beast` number, since 5 + 335 + 6 + 6 + 310 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18635526144 + 34721104896 = 136512^2 + 186336^2 .

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 = 53356630986 and 53356631004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 350392 + ... + 479048.

Almost surely, 253356631040 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 53356631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95600742138).

53356631040 is an abundant number, since it is smaller than the sum of its proper divisors (137844853236).

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

53356631040 is a wasteful number, since it uses less digits than its factorization.

53356631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128694 (or 128667 counting only the distinct ones).

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

The spelling of 53356631040 in words is "fifty-three billion, three hundred fifty-six million, six hundred thirty-one thousand, forty".