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4561466640 = 243519006111
BaseRepresentation
bin1000011111110001…
…00111010100010000
3102202220012111212220
410033320213110100
533320213413030
62032344021040
7221015553363
oct41770472420
912686174786
104561466640
111a30913445
12a73761780
135790481b3
14313b4a0da
151ba6d0a10
hex10fe27510

4561466640 has 40 divisors (see below), whose sum is σ = 14140547328. Its totient is φ = 1216391040.

The previous prime is 4561466599. The next prime is 4561466647. The reversal of 4561466640 is 466641654.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4561466592 and 4561466601.

It is not an unprimeable number, because it can be changed into a prime (4561466647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9502816 + ... + 9503295.

Almost surely, 24561466640 is an apocalyptic number.

4561466640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4561466640 is an abundant number, since it is smaller than the sum of its proper divisors (9579080688).

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

4561466640 is a wasteful number, since it uses less digits than its factorization.

4561466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19006127 (or 19006121 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4561466640 is about 67538.6307234608. The cubic root of 4561466640 is about 1658.4466331912.

The spelling of 4561466640 in words is "four billion, five hundred sixty-one million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 19006111 38012222 57018333 76024444 95030555 114036666 152048888 190061110 228073332 285091665 304097776 380122220 456146664 570183330 760244440 912293328 1140366660 1520488880 2280733320 4561466640