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3201114048 = 263112227607
BaseRepresentation
bin1011111011001101…
…0001111111000000
322021002110102221120
42332303101333000
523023441122143
61245350552240
7142220010006
oct27663217700
98232412846
103201114048
1113a2a44400
12754068680
133c026b932
142251d8a76
1513b06d383
hexbecd1fc0

3201114048 has 168 divisors, whose sum is σ = 9365991936. Its totient is φ = 964170240.

The previous prime is 3201114043. The next prime is 3201114061. The reversal of 3201114048 is 8404111023.

It is a super-2 number, since 2×32011140482 = 20494262296605892608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201114043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5273361 + ... + 5273967.

It is an arithmetic number, because the mean of its divisors is an integer number (55749952).

Almost surely, 23201114048 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 3201114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682995968).

3201114048 is an abundant number, since it is smaller than the sum of its proper divisors (6164877888).

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

3201114048 is a wasteful number, since it uses less digits than its factorization.

3201114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3201114048 is about 56578.3885242413. The cubic root of 3201114048 is about 1473.7835874452.

The spelling of 3201114048 in words is "three billion, two hundred one million, one hundred fourteen thousand, forty-eight".