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67407147040 = 2551492827481
BaseRepresentation
bin111110110001110001…
…110111000000100000
320102222201102212021111
4332301301313000200
52101022212201130
650544425033104
74604261203402
oct766161670040
9212881385244
1067407147040
1126650639292
1211092625794
13648320782c
143396514b72
151b47b9302a
hexfb1c77020

67407147040 has 48 divisors (see below), whose sum is σ = 160318229400. Its totient is φ = 26781890560.

The previous prime is 67407147013. The next prime is 67407147047. The reversal of 67407147040 is 4074170476.

It can be written as a sum of positive squares in 4 ways, for example, as 26507747344 + 40899399696 = 162812^2 + 202236^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 67407146984 and 67407147002.

It is not an unprimeable number, because it can be changed into a prime (67407147047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389901 + ... + 1437580.

Almost surely, 267407147040 is an apocalyptic number.

It is an amenable number.

67407147040 is an abundant number, since it is smaller than the sum of its proper divisors (92911082360).

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

67407147040 is a wasteful number, since it uses less digits than its factorization.

67407147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827645 (or 2827637 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 67407147040 in words is "sixty-seven billion, four hundred seven million, one hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 23840 2827481 5654962 11309924 14137405 22619848 28274810 45239696 56549620 90479392 113099240 226198480 421294669 452396960 842589338 1685178676 2106473345 3370357352 4212946690 6740714704 8425893380 13481429408 16851786760 33703573520 67407147040