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1475009664 = 2737154101
BaseRepresentation
bin101011111101010…
…1101110010000000
310210210111020212120
41113322231302000
511010100302124
6402210324240
751360242502
oct12772556200
93723436776
101475009664
11697671657
12351b89680
131a67825ab
14ddc79d72
158975ed79
hex57eadc80

1475009664 has 64 divisors (see below), whose sum is σ = 3973250880. Its totient is φ = 484736000.

The previous prime is 1475009651. The next prime is 1475009671. The reversal of 1475009664 is 4669005741.

1475009664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 214 + ... + 54314.

It is an arithmetic number, because the mean of its divisors is an integer number (62082045).

Almost surely, 21475009664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1475009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986625440).

1475009664 is an abundant number, since it is smaller than the sum of its proper divisors (2498241216).

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

1475009664 is an equidigital number, since it uses as much as digits as its factorization.

1475009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54189 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1475009664 is about 38405.8545537005. The cubic root of 1475009664 is about 1138.3215435132.

The spelling of 1475009664 in words is "one billion, four hundred seventy-five million, nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 54101 108202 162303 216404 324606 432808 649212 865616 1298424 1731232 2596848 3462464 3841171 5193696 6924928 7682342 10387392 11523513 15364684 20774784 23047026 30729368 46094052 61458736 92188104 122917472 184376208 245834944 368752416 491669888 737504832 1475009664