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2053234656 = 2534112331101
BaseRepresentation
bin111101001100001…
…1101111111100000
312022002112010110000
41322120131333200
513201112002111
6535423540000
7101611130604
oct17230357740
95262463400
102053234656
11963aa7650
1249375a600
132694c5b65
14156995504
15c03cac56
hex7a61dfe0

2053234656 has 480 divisors, whose sum is σ = 7165863936. Its totient is φ = 570240000.

The previous prime is 2053234643. The next prime is 2053234691. The reversal of 2053234656 is 6564323502.

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 2053234656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20329006 + ... + 20329106.

Almost surely, 22053234656 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 2053234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582931968).

2053234656 is an abundant number, since it is smaller than the sum of its proper divisors (5112629280).

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

2053234656 is a wasteful number, since it uses less digits than its factorization.

2053234656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2053234656 is about 45312.6324108410. The cubic root of 2053234656 is about 1271.0018869948.

The spelling of 2053234656 in words is "two billion, fifty-three million, two hundred thirty-four thousand, six hundred fifty-six".