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8413897140 = 22335112612111
BaseRepresentation
bin1111101011000000…
…11110000110110100
3210201101020021001000
413311200132012310
5114212424202030
63510523003300
7415334642235
oct76540360664
923641207030
108413897140
113628475500
121769969530
13a4120c07c
1459b64908c
15343a06860
hex1f581e1b4

8413897140 has 288 divisors, whose sum is σ = 29258127360. Its totient is φ = 2005344000.

The previous prime is 8413897127. The next prime is 8413897157. The reversal of 8413897140 is 417983148.

It is a happy number.

8413897140 is a `hidden beast` number, since 8 + 413 + 8 + 97 + 140 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3984685 + ... + 3986795.

It is an arithmetic number, because the mean of its divisors is an integer number (101590720).

Almost surely, 28413897140 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 8413897140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629063680).

8413897140 is an abundant number, since it is smaller than the sum of its proper divisors (20844230220).

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

8413897140 is a wasteful number, since it uses less digits than its factorization.

8413897140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8413897140 is about 91727.2976817697. The cubic root of 8413897140 is about 2033.9131279193.

The spelling of 8413897140 in words is "eight billion, four hundred thirteen million, eight hundred ninety-seven thousand, one hundred forty".