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7334868816 = 2434112811831
BaseRepresentation
bin1101101010011000…
…10011011101010000
3200221011211221110000
412311030103131100
5110010211300231
63211455410000
7346523233122
oct66514233520
920834757400
107334868816
113124384560
121508523900
138cb7c1b82
144d8209212
152cde146e6
hex1b5313750

7334868816 has 200 divisors, whose sum is σ = 23254279488. Its totient is φ = 2213568000.

The previous prime is 7334868791. The next prime is 7334868817. The reversal of 7334868816 is 6188684337.

7334868816 is a `hidden beast` number, since 73 + 3 + 486 + 88 + 16 = 666.

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 (7334868817) 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, 4005021 + ... + 4006851.

Almost surely, 27334868816 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 7334868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11627139744).

7334868816 is an abundant number, since it is smaller than the sum of its proper divisors (15919410672).

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

7334868816 is a wasteful number, since it uses less digits than its factorization.

7334868816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2128 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 7334868816 is about 85643.8486757806. The cubic root of 7334868816 is about 1942.9611504833.

The spelling of 7334868816 in words is "seven billion, three hundred thirty-four million, eight hundred sixty-eight thousand, eight hundred sixteen".