Search a number
-
+
68392504424061 = 32173132999436973
BaseRepresentation
bin11111000110011110111101…
…11011100111011001111101
322222011021000020002120122200
433203033132323213121331
532431020322113032221
6401243025514302113
720256124005466626
oct1743173673473175
9288137006076580
1068392504424061
111a879109838584
127806b13427939
132c21501c1153c
1412c6301898a4d
157d90a5355426
hex3e33deee767d

68392504424061 has 48 divisors (see below), whose sum is σ = 107978023296000. Its totient is φ = 41527301921280.

The previous prime is 68392504424017. The next prime is 68392504424077. The reversal of 68392504424061 is 16042440529386.

68392504424061 is a `hidden beast` number, since 6 + 8 + 3 + 92 + 50 + 442 + 4 + 0 + 61 = 666.

It is not a de Polignac number, because 68392504424061 - 234 = 68375324554877 is a prime.

It is a super-2 number, since 2×683925044240612 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68392504423989 and 68392504424007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68392504420061) 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, 156295771 + ... + 156732743.

It is an arithmetic number, because the mean of its divisors is an integer number (2249542152000).

Almost surely, 268392504424061 is an apocalyptic number.

It is an amenable number.

68392504424061 is a deficient number, since it is larger than the sum of its proper divisors (39585518871939).

68392504424061 is a wasteful number, since it uses less digits than its factorization.

68392504424061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470026 (or 470023 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 68392504424061 in words is "sixty-eight trillion, three hundred ninety-two billion, five hundred four million, four hundred twenty-four thousand, sixty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 32999 98997 296991 436973 560983 1022969 1310919 1682949 3068907 3932757 5048847 7428541 9206721 13546163 17390473 22285623 40638489 52171419 66856869 121915467 156514257 230284771 690854313 2072562939 14419672027 43259016081 129777048243 245134424459 447009832837 735403273377 1341029498511 2206209820131 4023088495533 7599167158229 22797501474687 68392504424061