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67404010400 = 255284255013
BaseRepresentation
bin111110110001100101…
…111001001110100000
320102222111112111121122
4332301211321032200
52101020411313100
650544233511412
74604222430566
oct766145711640
9212874474548
1067404010400
1126649896721
1211091572568
136482679c2c
143395d39a36
151b47773985
hexfb19793a0

67404010400 has 36 divisors (see below), whose sum is σ = 164550042342. Its totient is φ = 26961603840.

The previous prime is 67404010357. The next prime is 67404010417. The reversal of 67404010400 is 401040476.

It can be written as a sum of positive squares in 3 ways, for example, as 42464020624 + 24939989776 = 206068^2 + 157924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67404010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42126707 + ... + 42128306.

Almost surely, 267404010400 is an apocalyptic number.

It is an amenable number.

67404010400 is an abundant number, since it is smaller than the sum of its proper divisors (97146031942).

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

67404010400 is a wasteful number, since it uses less digits than its factorization.

67404010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84255033 (or 84255020 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

Adding to 67404010400 its reverse (401040476), we get a palindrome (67805050876).

The spelling of 67404010400 in words is "sixty-seven billion, four hundred four million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 84255013 168510026 337020052 421275065 674040104 842550130 1348080208 1685100260 2106375325 2696160416 3370200520 4212750650 6740401040 8425501300 13480802080 16851002600 33702005200 67404010400