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7146660096 = 283223157859
BaseRepresentation
bin1101010011111100…
…10110000100000000
3200110001200221121200
412221332112010000
5104114021110341
63141053421200
7342046415502
oct65176260400
920401627550
107146660096
113038115564
12147549a800
1389b805874
144bb215d72
152bc638db6
hex1a9f96100

7146660096 has 216 divisors, whose sum is σ = 21663620160. Its totient is φ = 2261495808.

The previous prime is 7146660091. The next prime is 7146660163. The reversal of 7146660096 is 6900666417.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7146660091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8319315 + ... + 8320173.

Almost surely, 27146660096 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 7146660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831810080).

7146660096 is an abundant number, since it is smaller than the sum of its proper divisors (14516960064).

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

7146660096 is a wasteful number, since it uses less digits than its factorization.

7146660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7146660096 is about 84537.9210532173. The cubic root of 7146660096 is about 1926.1985089274.

The spelling of 7146660096 in words is "seven billion, one hundred forty-six million, six hundred sixty thousand, ninety-six".