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53683122240 = 26325111799679
BaseRepresentation
bin110001111111110000…
…110111000001000000
312010120021021011111200
4301333300313001000
51334420334402430
640354531341200
73610214003316
oct617760670100
9163507234450
1053683122240
11208487a5330
12a4a2451800
1350a6b343b7
14285395a0b6
1515e2dc5460
hexc7fc37040

53683122240 has 336 divisors, whose sum is σ = 213284897280. Its totient is φ = 12248432640.

The previous prime is 53683122221. The next prime is 53683122287. The reversal of 53683122240 is 4222138635.

53683122240 is a `hidden beast` number, since 5 + 368 + 31 + 22 + 240 = 666.

It is a super-2 number, since 2×536831222402 (a number of 22 digits) contains 22 as substring.

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 = 53683122195 and 53683122204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488721 + ... + 588399.

It is an arithmetic number, because the mean of its divisors is an integer number (634776480).

Almost surely, 253683122240 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 53683122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106642448640).

53683122240 is an abundant number, since it is smaller than the sum of its proper divisors (159601775040).

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

53683122240 is a wasteful number, since it uses less digits than its factorization.

53683122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99730 (or 99717 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53683122240 in words is "fifty-three billion, six hundred eighty-three million, one hundred twenty-two thousand, two hundred forty".