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3968048736 = 25346773313
BaseRepresentation
bin1110110010000011…
…1001111001100000
3101020112120202120000
43230200321321200
531111310024421
61453425020000
7200221600131
oct35440717140
911215522500
103968048736
111756950823
12928a84600
134b3115542
14298dd7c88
15183563226
hexec839e60

3968048736 has 240 divisors, whose sum is σ = 12044705904. Its totient is φ = 1280987136.

The previous prime is 3968048681. The next prime is 3968048737. The reversal of 3968048736 is 6378408693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968048737) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12677316 + ... + 12677628.

Almost surely, 23968048736 is an apocalyptic number.

3968048736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968048736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022352952).

3968048736 is an abundant number, since it is smaller than the sum of its proper divisors (8076657168).

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

3968048736 is a wasteful number, since it uses less digits than its factorization.

3968048736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3968048736 is about 62992.4498332935. The cubic root of 3968048736 is about 1583.1631254251.

The spelling of 3968048736 in words is "three billion, nine hundred sixty-eight million, forty-eight thousand, seven hundred thirty-six".