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2000464506 = 23383446333
BaseRepresentation
bin111011100111100…
…1010101001111010
312011102020010102000
41313033022221322
513044104331011
6530300521430
7100400445015
oct16717125172
95142203360
102000464506
11937234657
12479b50276
1325b5aa911
1414d97a37c
15ba955356
hex773caa7a

2000464506 has 32 divisors (see below), whose sum is σ = 4499046720. Its totient is φ = 658786032.

The previous prime is 2000464471. The next prime is 2000464507. The reversal of 2000464506 is 6054640002.

It is a happy number.

2000464506 is a `hidden beast` number, since 200 + 0 + 4 + 6 + 450 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2000464506.

It is not an unprimeable number, because it can be changed into a prime (2000464507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218685 + ... + 227648.

It is an arithmetic number, because the mean of its divisors is an integer number (140595210).

Almost surely, 22000464506 is an apocalyptic number.

2000464506 is an abundant number, since it is smaller than the sum of its proper divisors (2498582214).

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

2000464506 is a wasteful number, since it uses less digits than its factorization.

2000464506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446427 (or 446421 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2000464506 is about 44726.5525834487. The cubic root of 2000464506 is about 1260.0185824924.

The spelling of 2000464506 in words is "two billion, four hundred sixty-four thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 446333 892666 1338999 2677998 4016997 8033994 12050991 24101982 37045639 74091278 111136917 222273834 333410751 666821502 1000232253 2000464506