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6746681340 = 2232575354509
BaseRepresentation
bin1100100100010001…
…00010111111111100
3122102012001220220200
412102020202333330
5102304122300330
63033244443500
7326121562620
oct62210427774
918365056820
106746681340
112952364603
121383549590
138369a0b49
14480059180
1529747ba60
hex192222ffc

6746681340 has 72 divisors (see below), whose sum is σ = 23388499680. Its totient is φ = 1542098304.

The previous prime is 6746681339. The next prime is 6746681341. The reversal of 6746681340 is 431866476.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6746681339) and next prime (6746681341).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746681341) 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, 2675995 + ... + 2678514.

Almost surely, 26746681340 is an apocalyptic number.

6746681340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6746681340 is an abundant number, since it is smaller than the sum of its proper divisors (16641818340).

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

6746681340 is a wasteful number, since it uses less digits than its factorization.

6746681340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354531 (or 5354526 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6746681340 is about 82138.1844211327. The cubic root of 6746681340 is about 1889.5718018778.

The spelling of 6746681340 in words is "six billion, seven hundred forty-six million, six hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 5354509 10709018 16063527 21418036 26772545 32127054 37481563 48190581 53545090 64254108 74963126 80317635 96381162 107090180 112444689 149926252 160635270 187407815 192762324 224889378 240952905 321270540 337334067 374815630 449778756 481905810 562223445 674668134 749631260 963811620 1124446890 1349336268 1686670335 2248893780 3373340670 6746681340