Search a number
-
+
64157777730 = 2345216136653
BaseRepresentation
bin111011110000000110…
…011111111101000010
320010121021011210120000
4323300012133331002
52022343342341410
645250151500430
74430614053444
oct736006377502
9203537153500
1064157777730
1125233436002
1210526387716
136085c719b7
143168b58494
151a07791dc0
hexef019ff42

64157777730 has 80 divisors (see below), whose sum is σ = 172597674744. Its totient is φ = 17100357120.

The previous prime is 64157777729. The next prime is 64157777771. The reversal of 64157777730 is 3777775146.

64157777730 is a `hidden beast` number, since 64 + 1 + 577 + 7 + 7 + 7 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52048315881 + 12109461849 = 228141^2 + 110043^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1732084 + ... + 1768736.

Almost surely, 264157777730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64157777730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86298837372).

64157777730 is an abundant number, since it is smaller than the sum of its proper divisors (108439897014).

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

64157777730 is a wasteful number, since it uses less digits than its factorization.

64157777730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38833 (or 38824 counting only the distinct ones).

The product of its (nonzero) digits is 6050520, while the sum is 54.

The spelling of 64157777730 in words is "sixty-four billion, one hundred fifty-seven million, seven hundred seventy-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2161 4322 6483 10805 12966 19449 21610 32415 36653 38898 58347 64830 73306 97245 109959 116694 175041 183265 194490 219918 291735 329877 350082 366530 549795 583470 659754 875205 989631 1099590 1649385 1750410 1979262 2968893 3298770 4948155 5937786 9896310 14844465 29688930 79207133 158414266 237621399 396035665 475242798 712864197 792071330 1188106995 1425728394 2138592591 2376213990 3564320985 4277185182 6415777773 7128641970 10692962955 12831555546 21385925910 32078888865 64157777730