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645371664 = 24374740867
BaseRepresentation
bin100110011101111…
…001011100010000
31122222101021111020
4212131321130100
52310203343124
6144012315440
721664366020
oct4635713420
91588337436
10645371664
11301328313
12160172b80
13a3923432
14619d7a80
153b9d1379
hex26779710

645371664 has 80 divisors (see below), whose sum is σ = 1945970688. Its totient is φ = 180464256.

The previous prime is 645371659. The next prime is 645371681. The reversal of 645371664 is 466173546.

645371664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4642 + ... + 36225.

Almost surely, 2645371664 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 645371664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972985344).

645371664 is an abundant number, since it is smaller than the sum of its proper divisors (1300599024).

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

645371664 is a wasteful number, since it uses less digits than its factorization.

645371664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40932 (or 40926 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 645371664 is about 25404.1662724837. The cubic root of 645371664 is about 864.1781825582.

The spelling of 645371664 in words is "six hundred forty-five million, three hundred seventy-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 40867 81734 122601 163468 245202 286069 326936 490404 572138 653872 858207 980808 1144276 1716414 1920749 1961616 2288552 3432828 3841498 4577104 5762247 6865656 7682996 11524494 13445243 13731312 15365992 23048988 26890486 30731984 40335729 46097976 53780972 80671458 92195952 107561944 161342916 215123888 322685832 645371664