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44966406272 = 27187432
BaseRepresentation
bin101001111000001101…
…001110100010000000
311022001210020010010112
4221320031032202000
51214042400000042
632353550050452
73151211101244
oct517015164200
9138053203115
1044966406272
1118085400637
12886b1a9a28
134317c7b4b8
142268006424
151282a04982
hexa7834e880

44966406272 has 24 divisors (see below), whose sum is σ = 89586292215. Its totient is φ = 22482003584.

The previous prime is 44966406269. The next prime is 44966406281. The reversal of 44966406272 is 27260466944.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 22483203136 + 22483203136 = 149944^2 + 149944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=149944.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 44966406272.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2389733 + ... + 2408475.

Almost surely, 244966406272 is an apocalyptic number.

It is an amenable number.

44966406272 is a deficient number, since it is larger than the sum of its proper divisors (44619885943).

44966406272 is an frugal number, since it uses more digits than its factorization.

44966406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37500 (or 18745 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

Multiplying 44966406272 by its sum of digits (50), we get a square (2248320313600 = 14994402).

The spelling of 44966406272 in words is "forty-four billion, nine hundred sixty-six million, four hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 18743 37486 74972 149944 299888 599776 1199552 2399104 351300049 702600098 1405200196 2810400392 5620800784 11241601568 22483203136 44966406272