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4563372672 = 27323961261
BaseRepresentation
bin1000011111111111…
…11000101010000000
3102210000210100110200
410033333320222000
533321210411142
62032452525200
7221041012335
oct41777705200
912700710420
104563372672
111a319a5481
12a74320800
13579564921
143140c498c
151ba95a64c
hex10fff8a80

4563372672 has 48 divisors (see below), whose sum is σ = 13131583530. Its totient is φ = 1521123840.

The previous prime is 4563372647. The next prime is 4563372683. The reversal of 4563372672 is 2762733654.

4563372672 is a `hidden beast` number, since 4 + 5 + 633 + 7 + 2 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4544917056 + 18455616 = 67416^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1979479 + ... + 1981782.

Almost surely, 24563372672 is an apocalyptic number.

It is an amenable number.

4563372672 is an abundant number, since it is smaller than the sum of its proper divisors (8568210858).

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

4563372672 is a wasteful number, since it uses less digits than its factorization.

4563372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961281 (or 3961266 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 4563372672 is about 67552.7399296283. The cubic root of 4563372672 is about 1658.6775978069.

The spelling of 4563372672 in words is "four billion, five hundred sixty-three million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3961261 7922522 11883783 15845044 23767566 31690088 35651349 47535132 63380176 71302698 95070264 126760352 142605396 190140528 253520704 285210792 380281056 507041408 570421584 760562112 1140843168 1521124224 2281686336 4563372672