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8132797440 = 21033558831
BaseRepresentation
bin1111001001100000…
…01010010000000000
3202222210021220202000
413210300022100000
5113123444004230
63423002024000
7405352431465
oct74460122000
922883256660
108132797440
1134a38300a9
1216ab7a8000
139c7bcaca1
1457219566c
15328eccb60
hex1e4c0a400

8132797440 has 176 divisors, whose sum is σ = 28902984960. Its totient is φ = 2168709120.

The previous prime is 8132797429. The next prime is 8132797441. The reversal of 8132797440 is 447972318.

8132797440 is a `hidden beast` number, since 8 + 132 + 79 + 7 + 440 = 666.

It is a super-2 number, since 2×81327974402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8132797441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108825 + ... + 167655.

Almost surely, 28132797440 is an apocalyptic number.

8132797440 is a gapful number since it is divisible by the number (80) 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 8132797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451492480).

8132797440 is an abundant number, since it is smaller than the sum of its proper divisors (20770187520).

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

8132797440 is a wasteful number, since it uses less digits than its factorization.

8132797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58865 (or 58841 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8132797440 is about 90182.0239293841. The cubic root of 8132797440 is about 2011.0057786598.

The spelling of 8132797440 in words is "eight billion, one hundred thirty-two million, seven hundred ninety-seven thousand, four hundred forty".