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669541968 = 2432311271181
BaseRepresentation
bin100111111010000…
…110011001010000
31201122212020220200
4213322012121100
52332400320333
6150234335200
722410004254
oct4772063120
91648766820
10669541968
11313a36877
1216828a500
13a8936aa4
1464cca264
153dba7c13
hex27e86650

669541968 has 120 divisors (see below), whose sum is σ = 1951113216. Its totient is φ = 214099200.

The previous prime is 669541967. The next prime is 669541997. The reversal of 669541968 is 869145966.

It is a happy number.

669541968 is a `hidden beast` number, since 6 + 6 + 9 + 541 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669541967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566338 + ... + 567518.

Almost surely, 2669541968 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 669541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975556608).

669541968 is an abundant number, since it is smaller than the sum of its proper divisors (1281571248).

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

669541968 is a wasteful number, since it uses less digits than its factorization.

669541968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 669541968 is about 25875.5090384711. The cubic root of 669541968 is about 874.8345670371.

The spelling of 669541968 in words is "six hundred sixty-nine million, five hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 127 144 186 248 254 279 372 381 496 508 558 744 762 1016 1116 1143 1181 1488 1524 2032 2232 2286 2362 3048 3543 3937 4464 4572 4724 6096 7086 7874 9144 9448 10629 11811 14172 15748 18288 18896 21258 23622 28344 31496 35433 36611 42516 47244 56688 62992 70866 73222 85032 94488 109833 141732 146444 149987 170064 188976 219666 283464 292888 299974 329499 439332 449961 566928 585776 599948 658998 878664 899922 1199896 1317996 1349883 1757328 1799844 2399792 2635992 2699766 3599688 4649597 5271984 5399532 7199376 9299194 10799064 13948791 18598388 21598128 27897582 37196776 41846373 55795164 74393552 83692746 111590328 167385492 223180656 334770984 669541968