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448665566844 = 223113398981567
BaseRepresentation
bin1101000011101101000…
…11010011111001111100
31120220002021102022110110
412201312203103321330
524322331341114334
6542040352110020
744262231252045
oct6416643237174
91526067368413
10448665566844
1116330701a030
1272b55235310
1333402aa8341
1417a035ab8cc
15ba0e04aae9
hex68768d3e7c

448665566844 has 24 divisors (see below), whose sum is σ = 1142057806848. Its totient is φ = 135959262640.

The previous prime is 448665566827. The next prime is 448665566851.

It is a happy number.

448665566844 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699490652 + ... + 1699490915.

It is an arithmetic number, because the mean of its divisors is an integer number (47585741952).

Almost surely, 2448665566844 is an apocalyptic number.

448665566844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448665566844 is an abundant number, since it is smaller than the sum of its proper divisors (693392240004).

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

448665566844 is a wasteful number, since it uses less digits than its factorization.

448665566844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398981585 (or 3398981583 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 448665566844 in words is "four hundred forty-eight billion, six hundred sixty-five million, five hundred sixty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3398981567 6797963134 10196944701 13595926268 20393889402 37388797237 40787778804 74777594474 112166391711 149555188948 224332783422 448665566844