Search a number
-
+
67400668008 = 2332936120389
BaseRepresentation
bin111110110001011001…
…001001001101101000
320102222021020200201100
4332301121021031220
52101014032334013
650544034121400
74604152140162
oct766131111550
9212867220640
1067400668008
1126647a13513
1211090420260
136481a7979b
143395709932
151b47313473
hexfb1649368

67400668008 has 24 divisors (see below), whose sum is σ = 182543476050. Its totient is φ = 22466889312.

The previous prime is 67400667931. The next prime is 67400668019. The reversal of 67400668008 is 80086600476.

It is a happy number.

67400668008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 67131773604 + 268894404 = 259098^2 + 16398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 468060123 + ... + 468060266.

Almost surely, 267400668008 is an apocalyptic number.

It is an amenable number.

67400668008 is an abundant number, since it is smaller than the sum of its proper divisors (115142808042).

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

67400668008 is a wasteful number, since it uses less digits than its factorization.

67400668008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936120401 (or 936120394 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 67400668008 in words is "sixty-seven billion, four hundred million, six hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 936120389 1872240778 2808361167 3744481556 5616722334 7488963112 8425083501 11233444668 16850167002 22466889336 33700334004 67400668008