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14093586864 = 24327101138433
BaseRepresentation
bin11010010000000101…
…10001000110110000
31100101012120101121200
431020002301012300
5212330424234424
610250254251200
71006152340350
oct151002610660
940335511550
1014093586864
115a8250a455
122893ab6b00
131437b18616
14979ab8b60
1557746c8c9
hex3480b11b0

14093586864 has 120 divisors (see below), whose sum is σ = 45523744032. Its totient is φ = 3986841600.

The previous prime is 14093586863. The next prime is 14093586869. The reversal of 14093586864 is 46868539041.

It is a super-2 number, since 2×140935868642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14093586864.

It is not an unprimeable number, because it can be changed into a prime (14093586863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32592 + ... + 171024.

Almost surely, 214093586864 is an apocalyptic number.

14093586864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14093586864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761872016).

14093586864 is an abundant number, since it is smaller than the sum of its proper divisors (31430157168).

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

14093586864 is a wasteful number, since it uses less digits than its factorization.

14093586864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138555 (or 138546 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14093586864 in words is "fourteen billion, ninety-three million, five hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1616 1818 2121 2424 2828 3636 4242 4848 5656 6363 7272 8484 11312 12726 14544 16968 25452 33936 50904 101808 138433 276866 415299 553732 830598 969031 1107464 1245897 1661196 1938062 2214928 2491794 2907093 3322392 3876124 4983588 5814186 6644784 7752248 8721279 9967176 11628372 13981733 15504496 17442558 19934352 23256744 27963466 34885116 41945199 46513488 55926932 69770232 83890398 97872131 111853864 125835597 139540464 167780796 195744262 223707728 251671194 293616393 335561592 391488524 503342388 587232786 671123184 782977048 880849179 1006684776 1174465572 1565954096 1761698358 2013369552 2348931144 3523396716 4697862288 7046793432 14093586864