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6745826984 = 2313317107211
BaseRepresentation
bin1100100100001010…
…10010011010101000
3122102010110111221212
412102011102122220
5102303412430414
63033214252252
7326111404031
oct62205223250
918363414855
106745826984
112951930726
1213831b7088
13836762000
1447dcb5a88
1529735d83e
hex1921526a8

6745826984 has 128 divisors (see below), whose sum is σ = 14712969600. Its totient is φ = 2889169920.

The previous prime is 6745826977. The next prime is 6745826987. The reversal of 6745826984 is 4896285476.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6745826987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31970639 + ... + 31970849.

It is an arithmetic number, because the mean of its divisors is an integer number (114945075).

Almost surely, 26745826984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6745826984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356484800).

6745826984 is an abundant number, since it is smaller than the sum of its proper divisors (7967142616).

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

6745826984 is a wasteful number, since it uses less digits than its factorization.

6745826984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 350 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 59.

The square root of 6745826984 is about 82132.9835328049. The cubic root of 6745826984 is about 1889.4920374685.

The spelling of 6745826984 in words is "six billion, seven hundred forty-five million, eight hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 107 136 169 211 214 221 338 422 428 442 676 844 856 884 1352 1391 1688 1768 1819 2197 2743 2782 2873 3587 3638 4394 5486 5564 5746 7174 7276 8788 10972 11128 11492 14348 14552 17576 18083 21944 22577 22984 23647 28696 35659 36166 37349 45154 46631 47294 71318 72332 74698 90308 93262 94588 142636 144664 149396 180616 186524 189176 235079 285272 293501 298792 307411 373048 383809 463567 470158 587002 606203 614822 767618 927134 940316 1174004 1212406 1229644 1535236 1854268 1880632 2348008 2424812 2459288 3070472 3708536 3815513 3996343 4849624 4989517 7631026 7880639 7992686 9979034 15262052 15761278 15985372 19958068 30524104 31522556 31970744 39916136 49601669 63045112 64863721 99203338 129727442 198406676 259454884 396813352 518909768 843228373 1686456746 3372913492 6745826984