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53364018240 = 26345132943127
BaseRepresentation
bin110001101100101111…
…100100110001000000
312002202000211000010000
4301230233210301000
51333242142040430
640303132040000
73566260446051
oct615457446100
9162660730100
1053364018240
11206a4662815
12a413603000
1350559a7c70
142823412728
1515c4d90e60
hexc6cbe4c40

53364018240 has 1120 divisors, whose sum is σ = 218098298880. Its totient is φ = 12290310144.

The previous prime is 53364018217. The next prime is 53364018251. The reversal of 53364018240 is 4281046335.

53364018240 is a `hidden beast` number, since 5 + 3 + 3 + 6 + 401 + 8 + 240 = 666.

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 = 53364018195 and 53364018204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 420189057 + ... + 420189183.

It is an arithmetic number, because the mean of its divisors is an integer number (194730624).

Almost surely, 253364018240 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 53364018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109049149440).

53364018240 is an abundant number, since it is smaller than the sum of its proper divisors (164734280640).

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

53364018240 is a wasteful number, since it uses less digits than its factorization.

53364018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

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

The spelling of 53364018240 in words is "fifty-three billion, three hundred sixty-four million, eighteen thousand, two hundred forty".