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67425142320 = 2432597965423
BaseRepresentation
bin111110110010110110…
…100000011000110000
320110000222022010011100
4332302312200120300
52101041314023240
650550310444400
74604600152644
oct766266403060
9213028263140
1067425142320
112665a80a418
1211098663700
136486b68623
143398a7ac24
151b49549e30
hexfb2da0630

67425142320 has 120 divisors (see below), whose sum is σ = 228770732736. Its totient is φ = 17794658304.

The previous prime is 67425142307. The next prime is 67425142327. The reversal of 67425142320 is 2324152476.

67425142320 is a `hidden beast` number, since 67 + 42 + 514 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×674251423202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67425142327) 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 23 ways as a sum of consecutive naturals, for example, 412872 + ... + 552551.

Almost surely, 267425142320 is an apocalyptic number.

67425142320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67425142320 is an abundant number, since it is smaller than the sum of its proper divisors (161345590416).

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

67425142320 is a wasteful number, since it uses less digits than its factorization.

67425142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965539 (or 965530 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 67425142320 its reverse (2324152476), we get a palindrome (69749294796).

The spelling of 67425142320 in words is "sixty-seven billion, four hundred twenty-five million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7760 8730 11640 13968 17460 23280 34920 69840 965423 1930846 2896269 3861692 4827115 5792538 7723384 8688807 9654230 11585076 14481345 15446768 17377614 19308460 23170152 28962690 34755228 38616920 43444035 46340304 57925380 69510456 77233840 86888070 93646031 115850760 139020912 173776140 187292062 231701520 280938093 347552280 374584124 468230155 561876186 695104560 749168248 842814279 936460310 1123752372 1404690465 1498336496 1685628558 1872920620 2247504744 2809380930 3371257116 3745841240 4214071395 4495009488 5618761860 6742514232 7491682480 8428142790 11237523720 13485028464 16856285580 22475047440 33712571160 67425142320