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67344174040 = 235111311773457
BaseRepresentation
bin111110101110000001…
…101000101111011000
320102211022221111120011
4332232001220233120
52100410102032130
650534255211304
74602565014553
oct765601505730
9212738844504
1067344174040
1126619037790
1211075516b34
1364731595c0
14338c00169a
151b423a452a
hexfae068bd8

67344174040 has 64 divisors (see below), whose sum is σ = 178014684960. Its totient is φ = 22605035520.

The previous prime is 67344174019. The next prime is 67344174043. The reversal of 67344174040 is 4047144376.

It is a happy number.

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 = 67344173984 and 67344174002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67344174043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5881009 + ... + 5892448.

Almost surely, 267344174040 is an apocalyptic number.

It is an amenable number.

67344174040 is an abundant number, since it is smaller than the sum of its proper divisors (110670510920).

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

67344174040 is a wasteful number, since it uses less digits than its factorization.

67344174040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773492 (or 11773488 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 67344174040 in words is "sixty-seven billion, three hundred forty-four million, one hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 11773457 23546914 47093828 58867285 94187656 117734570 129508027 153054941 235469140 259016054 306109882 470938280 518032108 612219764 647540135 765274705 1036064216 1224439528 1295080270 1530549410 1683604351 2590160540 3061098820 3367208702 5180321080 6122197640 6734417404 8418021755 13468834808 16836043510 33672087020 67344174040