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4181489568 = 2535537743
BaseRepresentation
bin1111100100111100…
…0111011110100000
3101210102012200100000
43321033013132200
532030430131233
61530531500000
7205423034454
oct37117073640
911712180300
104181489568
111856384003
12988457600
135183c75a9
142b94b8664
15197174d13
hexf93c77a0

4181489568 has 72 divisors (see below), whose sum is σ = 12331545408. Its totient is φ = 1393827264.

The previous prime is 4181489563. The next prime is 4181489579. The reversal of 4181489568 is 8659841814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4181489563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261096 + ... + 276647.

It is an arithmetic number, because the mean of its divisors is an integer number (171271464).

Almost surely, 24181489568 is an apocalyptic number.

4181489568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4181489568 is an abundant number, since it is smaller than the sum of its proper divisors (8150055840).

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

4181489568 is an equidigital number, since it uses as much as digits as its factorization.

4181489568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537768 (or 537748 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 4181489568 is about 64664.4382021525. The cubic root of 4181489568 is about 1611.0548965407.

It can be divided in two parts, 418148 and 9568, that added together give a square (427716 = 6542).

The spelling of 4181489568 in words is "four billion, one hundred eighty-one million, four hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 537743 1075486 1613229 2150972 3226458 4301944 4839687 6452916 8603888 9679374 12905832 14519061 17207776 19358748 25811664 29038122 38717496 43557183 51623328 58076244 77434992 87114366 116152488 130671549 154869984 174228732 232304976 261343098 348457464 464609952 522686196 696914928 1045372392 1393829856 2090744784 4181489568