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664631320770 = 2325191297299671
BaseRepresentation
bin10011010101111110001…
…11010010000011000010
32100112112022002022222100
421222333013102003002
541342131104231040
61225154415451230
766006120004434
oct11527707220302
92315468068870
10664631320770
1123696106548a
12a8987826b16
134a89ca4cb91
142424dc68654
151244de9db30
hex9abf1d20c2

664631320770 has 96 divisors (see below), whose sum is σ = 1820399518080. Its totient is φ = 167776842240.

The previous prime is 664631320763. The next prime is 664631320807. The reversal of 664631320770 is 77023136466.

664631320770 is a `hidden beast` number, since 6 + 6 + 4 + 631 + 3 + 2 + 0 + 7 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2068035 + ... + 2367705.

It is an arithmetic number, because the mean of its divisors is an integer number (18962494980).

Almost surely, 2664631320770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664631320770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910199759040).

664631320770 is an abundant number, since it is smaller than the sum of its proper divisors (1155768197310).

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

664631320770 is a wasteful number, since it uses less digits than its factorization.

664631320770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301000 (or 300997 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 664631320770 in words is "six hundred sixty-four billion, six hundred thirty-one million, three hundred twenty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1297 1710 2594 3891 6485 7782 11673 12970 19455 23346 24643 38910 49286 58365 73929 116730 123215 147858 221787 246430 299671 369645 443574 599342 739290 899013 1108935 1498355 1798026 2217870 2697039 2996710 4495065 5394078 5693749 8990130 11387498 13485195 17081247 26970390 28468745 34162494 51243741 56937490 85406235 102487482 170812470 256218705 388673287 512437410 777346574 1166019861 1943366435 2332039722 3498059583 3886732870 5830099305 6996119166 7384792453 11660198610 14769584906 17490297915 22154377359 34980595830 36923962265 44308754718 66463132077 73847924530 110771886795 132926264154 221543773590 332315660385 664631320770