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67542113604 = 2237432617129
BaseRepresentation
bin111110111001110100…
…101101110101000100
320110100010101212121010
4332321310231311010
52101311240113404
651010045522220
74610520331050
oct767164556504
9213303355533
1067542113604
112670a8426a9
121110b873370
1364a5171ac4
1433aa408c60
151b54953189
hexfb9d2dd44

67542113604 has 144 divisors (see below), whose sum is σ = 187447585920. Its totient is φ = 18537361920.

The previous prime is 67542113603. The next prime is 67542113621. The reversal of 67542113604 is 40631124576.

It is a happy number.

It is a super-2 number, since 2×675421136042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67542113603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9470712 + ... + 9477840.

Almost surely, 267542113604 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 67542113604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93723792960).

67542113604 is an abundant number, since it is smaller than the sum of its proper divisors (119905472316).

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

67542113604 is a wasteful number, since it uses less digits than its factorization.

67542113604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 67542113604 in words is "sixty-seven billion, five hundred forty-two million, one hundred thirteen thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 61 84 86 122 129 172 183 244 258 301 366 427 516 602 732 854 903 1204 1281 1708 1806 1849 2562 2623 3612 3698 5124 5246 5547 7129 7396 7869 10492 11094 12943 14258 15738 18361 21387 22188 25886 28516 31476 36722 38829 42774 49903 51772 55083 73444 77658 85548 99806 110166 112789 149709 155316 199612 220332 225578 299418 306547 338367 434869 451156 598836 613094 676734 789523 869738 919641 1226188 1304607 1353468 1579046 1739476 1839282 2145829 2368569 2609214 3044083 3158092 3678564 4291658 4737138 5218428 6088166 6437487 8583316 9132249 9474276 12176332 12874974 13181521 18264498 18699367 25749948 26363042 36528996 37398734 39544563 52726084 56098101 74797468 79089126 92270647 112196202 130895569 158178252 184541294 224392404 261791138 276811941 369082588 392686707 523582276 553623882 785373414 804072781 1107247764 1570746828 1608145562 2412218343 3216291124 4824436686 5628509467 9648873372 11257018934 16885528401 22514037868 33771056802 67542113604