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669462604992 = 26321
BaseRepresentation
bin10011011110111110001…
…01001010110011000000
32101000000000000000000000
421233133011022303000
541432024411324432
61231314043000000
766236623152246
oct11573705126300
92330000000000
10669462604992
11238a10207865
12a98b5809000
134b18c958b3c
142458b76c796
15126331ca57c
hex9bdf14acc0

669462604992 has 154 divisors (see below), whose sum is σ = 1992697285108. Its totient is φ = 223154201664.

The previous prime is 669462604969. The next prime is 669462604997. The reversal of 669462604992 is 299406264966.

The cubic root of 669462604992 is 8748.

It is a perfect power (a cube), and thus also a powerful number.

669462604992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (669462604997) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 223154201663 + 223154201664 + 223154201665.

Almost surely, 2669462604992 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 669462604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996348642554).

669462604992 is an abundant number, since it is smaller than the sum of its proper divisors (1323234680116).

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

669462604992 is an frugal number, since it uses more digits than its factorization.

669462604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 669462604992 in words is "six hundred sixty-nine billion, four hundred sixty-two million, six hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 6561 7776 8748 11664 13122 15552 17496 19683 23328 26244 34992 39366 46656 52488 59049 69984 78732 104976 118098 139968 157464 177147 209952 236196 314928 354294 419904 472392 531441 629856 708588 944784 1062882 1259712 1417176 1594323 1889568 2125764 2834352 3188646 3779136 4251528 4782969 5668704 6377292 8503056 9565938 11337408 12754584 14348907 17006112 19131876 25509168 28697814 34012224 38263752 43046721 51018336 57395628 76527504 86093442 102036672 114791256 129140163 153055008 172186884 229582512 258280326 306110016 344373768 387420489 459165024 516560652 688747536 774840978 918330048 1033121304 1162261467 1377495072 1549681956 2066242608 2324522934 2754990144 3099363912 3486784401 4132485216 4649045868 6198727824 6973568802 8264970432 9298091736 10460353203 12397455648 13947137604 18596183472 20920706406 24794911296 27894275208 37192366944 41841412812 55788550416 74384733888 83682825624 111577100832 167365651248 223154201664 334731302496 669462604992