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5466406144 = 2885325033
BaseRepresentation
bin1010001011101001…
…01011110100000000
3112002222000012111211
411011310223310000
542143344444034
62302232015504
7252314454103
oct50564536400
915088005454
105466406144
112355709931
121086831594
13691680c64
1439bdd073a
1521ed85d64
hex145d2bd00

5466406144 has 36 divisors (see below), whose sum is σ = 10924687396. Its totient is φ = 2729889792.

The previous prime is 5466406129. The next prime is 5466406147. The reversal of 5466406144 is 4416046645.

It can be written as a sum of positive squares in 2 ways, for example, as 412902400 + 5053503744 = 20320^2 + 71088^2 .

It is a super-2 number, since 2×54664061442 = 59763192262321897472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5466406097 and 5466406106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466406147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205852 + ... + 230884.

Almost surely, 25466406144 is an apocalyptic number.

It is an amenable number.

5466406144 is a deficient number, since it is larger than the sum of its proper divisors (5458281252).

5466406144 is an equidigital number, since it uses as much as digits as its factorization.

5466406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25902 (or 25888 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 5466406144 is about 73935.1482314062. The cubic root of 5466406144 is about 1761.5729464253.

The spelling of 5466406144 in words is "five billion, four hundred sixty-six million, four hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 853 1706 3412 6824 13648 25033 27296 50066 54592 100132 109184 200264 218368 400528 801056 1602112 3204224 6408448 21353149 42706298 85412596 170825192 341650384 683300768 1366601536 2733203072 5466406144