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1143704956680 = 23355112131931127
BaseRepresentation
bin10000101001001010001…
…000001010111100001000
311001100002202122121100000
4100221022020022330020
5122214301432103210
62233224422243000
7145426034505216
oct20511210127410
94040082577300
101143704956680
114010516a4900
121657a8586460
1383b0a5c85a0
143d4d9b45cb6
151eb3c87cac0
hex10a4a20af08

1143704956680 has 2304 divisors, whose sum is σ = 4997047910400. Its totient is φ = 232794777600.

The previous prime is 1143704956673. The next prime is 1143704956817. The reversal of 1143704956680 is 866594073411.

1143704956680 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 70 + 4 + 9 + 566 + 8 + 0 = 666.

It is a super-2 number, since 2×11437049566802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9005550777 + ... + 9005550903.

It is an arithmetic number, because the mean of its divisors is an integer number (2168857600).

Almost surely, 21143704956680 is an apocalyptic number.

1143704956680 is a gapful number since it is divisible by the number (10) 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 1143704956680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498523955200).

1143704956680 is an abundant number, since it is smaller than the sum of its proper divisors (3853342953720).

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

1143704956680 is a wasteful number, since it uses less digits than its factorization.

1143704956680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1143704956680 in words is "one trillion, one hundred forty-three billion, seven hundred four million, nine hundred fifty-six thousand, six hundred eighty".