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3945298896 = 2432721124621
BaseRepresentation
bin1110101100101000…
…0111101111010000
3101011221202221122100
43223022013233100
531034444031041
61451253240400
7166524326100
oct35312075720
911157687570
103945298896
111745022500
12921333100
134ab4ab5b6
14295d95200
1518156c6b6
hexeb287bd0

3945298896 has 270 divisors, whose sum is σ = 14120870946. Its totient is φ = 1024531200.

The previous prime is 3945298883. The next prime is 3945298897. The reversal of 3945298896 is 6988925493.

3945298896 is a `hidden beast` number, since 3 + 9 + 452 + 98 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3176900496 + 768398400 = 56364^2 + 27720^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945298897) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 851466 + ... + 856086.

Almost surely, 23945298896 is an apocalyptic number.

3945298896 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 3945298896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060435473).

3945298896 is an abundant number, since it is smaller than the sum of its proper divisors (10175572050).

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

3945298896 is a wasteful number, since it uses less digits than its factorization.

3945298896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4644 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The square root of 3945298896 is about 62811.6143400247. The cubic root of 3945298896 is about 1580.1317649017.

The spelling of 3945298896 in words is "three billion, nine hundred forty-five million, two hundred ninety-eight thousand, eight hundred ninety-six".