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67825306040 = 2354214027631
BaseRepresentation
bin111111001010101101…
…000000100110111000
320111001212021112120212
4333022231000212320
52102401234243130
651054123410252
74620526406012
oct771255004670
9214055245525
1067825306040
1126845687338
121118a683988
13651ba365ab
1433d5c851b2
151b6e741e95
hexfcab409b8

67825306040 has 32 divisors (see below), whose sum is σ = 152969463360. Its totient is φ = 27065673600.

The previous prime is 67825306039. The next prime is 67825306061. The reversal of 67825306040 is 4060352876.

It is a happy number.

67825306040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1996976 + ... + 2030655.

It is an arithmetic number, because the mean of its divisors is an integer number (4780295730).

Almost surely, 267825306040 is an apocalyptic number.

It is an amenable number.

67825306040 is an abundant number, since it is smaller than the sum of its proper divisors (85144157320).

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

67825306040 is a wasteful number, since it uses less digits than its factorization.

67825306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028063 (or 4028059 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 67825306040 in words is "sixty-seven billion, eight hundred twenty-five million, three hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 421 842 1684 2105 3368 4210 8420 16840 4027631 8055262 16110524 20138155 32221048 40276310 80552620 161105240 1695632651 3391265302 6782530604 8478163255 13565061208 16956326510 33912653020 67825306040