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3816087552 = 2133871
BaseRepresentation
bin1110001101110100…
…1110000000000000
3100211221122100000000
43203131032000000
530303404300202
61430400000000
7163365131454
oct34335160000
910757570000
103816087552
11168909a072
128a6000000
1348a7aaa94
14282b5c664
1517504791c
hexe374e000

3816087552 has 252 divisors, whose sum is σ = 11608207416. Its totient is φ = 1254113280.

The previous prime is 3816087551. The next prime is 3816087581. The reversal of 3816087552 is 2557806183.

3816087552 is a `hidden beast` number, since 3 + 8 + 16 + 0 + 87 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3816087498 and 3816087507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816087551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53747677 + ... + 53747747.

Almost surely, 23816087552 is an apocalyptic number.

3816087552 is a gapful number since it is divisible by the number (32) 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 3816087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804103708).

3816087552 is an abundant number, since it is smaller than the sum of its proper divisors (7792119864).

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

3816087552 is an frugal number, since it uses more digits than its factorization.

3816087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 3816087552 is about 61774.4894920225. The cubic root of 3816087552 is about 1562.6897973774.

The spelling of 3816087552 in words is "three billion, eight hundred sixteen million, eighty-seven thousand, five hundred fifty-two".