Search a number
-
+
67074889104 = 2433179133291
BaseRepresentation
bin111110011101111110…
…011001010110010000
320102010120020102002000
4332131332121112100
52044332132422404
650451435354000
74563115102356
oct763576312620
9212116212060
1067074889104
11264a0031a53
1210bbb2b2900
13642c4240c2
1433643457d6
151b28911339
hexf9df99590

67074889104 has 80 divisors (see below), whose sum is σ = 203855077440. Its totient is φ = 21043100160.

The previous prime is 67074889097. The next prime is 67074889153. The reversal of 67074889104 is 40198847076.

It is a happy number.

67074889104 is a `hidden beast` number, since 6 + 70 + 7 + 488 + 91 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4559302 + ... + 4573989.

It is an arithmetic number, because the mean of its divisors is an integer number (2548188468).

Almost surely, 267074889104 is an apocalyptic number.

It is an amenable number.

67074889104 is an abundant number, since it is smaller than the sum of its proper divisors (136780188336).

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

67074889104 is a wasteful number, since it uses less digits than its factorization.

67074889104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133325 (or 9133313 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 67074889104 in words is "sixty-seven billion, seventy-four million, eight hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 9133291 18266582 27399873 36533164 54799746 73066328 82199619 109599492 146132656 155265947 164399238 219198984 246598857 310531894 328798476 438397968 465797841 493197714 621063788 657596952 931595682 986395428 1242127576 1315193904 1397393523 1863191364 1972790856 2484255152 2794787046 3726382728 3945581712 4192180569 5589574092 7452765456 8384361138 11179148184 16768722276 22358296368 33537444552 67074889104