Search a number
-
+
164408951970 = 23251826766133
BaseRepresentation
bin1001100100011110001…
…0011000010010100010
3120201100221110010002100
42121013202120102202
510143202142430340
6203310050231230
714610131014404
oct2310742302242
9521327403070
10164408951970
11637a862701a
1227a44285516
1312671815443
147d592bcb74
154423a93830
hex26478984a2

164408951970 has 24 divisors (see below), whose sum is σ = 427463275356. Its totient is φ = 43842387168.

The previous prime is 164408951963. The next prime is 164408951977. The reversal of 164408951970 is 79159804461.

164408951970 is a `hidden beast` number, since 1 + 6 + 4 + 40 + 89 + 519 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164408951963) and next prime (164408951977).

It can be written as a sum of positive squares in 2 ways, for example, as 160537250241 + 3871701729 = 400671^2 + 62223^2 .

It is a super-3 number, since 3×1644089519703 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164408951977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 913382977 + ... + 913383156.

Almost surely, 2164408951970 is an apocalyptic number.

164408951970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164408951970 is an abundant number, since it is smaller than the sum of its proper divisors (263054323386).

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

164408951970 is a wasteful number, since it uses less digits than its factorization.

164408951970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826766146 (or 1826766143 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 164408951970 in words is "one hundred sixty-four billion, four hundred eight million, nine hundred fifty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1826766133 3653532266 5480298399 9133830665 10960596798 16440895197 18267661330 27401491995 32881790394 54802983990 82204475985 164408951970