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67421873952 = 25322310178423
BaseRepresentation
bin111110110010101010…
…000010011100100000
320110000202011001210200
4332302222002130200
52101034444431302
650550112425200
74604530321116
oct766252023440
9213022131720
1067421873952
1126658987894
1211097548200
136486292a94
143398469ab6
151b4910181c
hexfb2a82720

67421873952 has 72 divisors (see below), whose sum is σ = 200067102144. Its totient is φ = 21496827264.

The previous prime is 67421873947. The next prime is 67421873963. The reversal of 67421873952 is 25937812476.

It is a happy number.

67421873952 is a `hidden beast` number, since 6 + 74 + 2 + 187 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5082588 + ... + 5095835.

It is an arithmetic number, because the mean of its divisors is an integer number (2778709752).

Almost surely, 267421873952 is an apocalyptic number.

It is an amenable number.

67421873952 is an abundant number, since it is smaller than the sum of its proper divisors (132645228192).

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

67421873952 is a wasteful number, since it uses less digits than its factorization.

67421873952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178462 (or 10178451 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 67421873952 in words is "sixty-seven billion, four hundred twenty-one million, eight hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 10178423 20356846 30535269 40713692 61070538 81427384 91605807 122141076 162854768 183211614 234103729 244282152 325709536 366423228 468207458 488564304 702311187 732846456 936414916 977128608 1404622374 1465692912 1872829832 2106933561 2809244748 2931385824 3745659664 4213867122 5618489496 7491319328 8427734244 11236978992 16855468488 22473957984 33710936976 67421873952