Search a number
-
+
66161664 = 210332393
BaseRepresentation
bin1111110001100…
…0110000000000
311121111100202000
43330120300000
5113414133124
610322024000
71432236102
oct374306000
9147440660
1066161664
113438a268
121a1a8000
131092671a
148b03572
155c1d6c9
hex3f18c00

66161664 has 88 divisors (see below), whose sum is σ = 196020720. Its totient is φ = 22044672.

The previous prime is 66161633. The next prime is 66161687. The reversal of 66161664 is 46616166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26452 + ... + 28844.

Almost surely, 266161664 is an apocalyptic number.

66161664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010360).

66161664 is an abundant number, since it is smaller than the sum of its proper divisors (129859056).

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

66161664 is a wasteful number, since it uses less digits than its factorization.

66161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2398 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 66161664 is about 8133.9820506318. The cubic root of 66161664 is about 404.4536941446.

The spelling of 66161664 in words is "sixty-six million, one hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 2393 3072 3456 4608 4786 6912 7179 9216 9572 13824 14358 19144 21537 27648 28716 38288 43074 57432 64611 76576 86148 114864 129222 153152 172296 229728 258444 306304 344592 459456 516888 612608 689184 918912 1033776 1225216 1378368 1837824 2067552 2450432 2756736 3675648 4135104 5513472 7351296 8270208 11026944 16540416 22053888 33080832 66161664