Search a number
-
+
61368242379024 = 2437231841675477
BaseRepresentation
bin11011111010000011010000…
…10010011001100100010000
322001021202011022211000100210
431331001220102121210100
531020424130022112044
6334304103101044120
715632465153316300
oct1575015022314420
9261252138730323
1061368242379024
1118610141a57749
126a716b0256640
132832000c1a859
14112234b2d3600
157164deb521b9
hex37d068499910

61368242379024 has 120 divisors (see below), whose sum is σ = 190366792912128. Its totient is φ = 16968177596160.

The previous prime is 61368242378977. The next prime is 61368242379043. The reversal of 61368242379024 is 42097324286316.

It is a happy number.

It is a super-2 number, since 2×613682423790242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420764827 + ... + 420910650.

Almost surely, 261368242379024 is an apocalyptic number.

It is an amenable number.

61368242379024 is an abundant number, since it is smaller than the sum of its proper divisors (128998550533104).

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

61368242379024 is a wasteful number, since it uses less digits than its factorization.

61368242379024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841675533 (or 841675520 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 61368242379024 in words is "sixty-one trillion, three hundred sixty-eight billion, two hundred forty-two million, three hundred seventy-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 1176 1302 1488 1519 1736 2352 2604 3038 3472 4557 5208 6076 9114 10416 12152 18228 24304 36456 72912 841675477 1683350954 2525026431 3366701908 5050052862 5891728339 6733403816 10100105724 11783456678 13466807632 17675185017 20200211448 23566913356 26091939787 35350370034 40400422896 41242098373 47133826712 52183879574 70700740068 78275819361 82484196746 94267653424 104367759148 123726295119 141401480136 156551638722 164968393492 182643578509 208735518296 247452590238 282802960272 313103277444 329936786984 365287157018 417471036592 494905180476 547930735527 626206554888 659873573968 730574314036 989810360952 1095861471054 1252413109776 1278505049563 1461148628072 1979620721904 2191722942108 2557010099126 2922297256144 3835515148689 4383445884216 5114020198252 7671030297378 8766891768432 10228040396504 15342060594756 20456080793008 30684121189512 61368242379024