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46040338641492 = 223213184335336993
BaseRepresentation
bin10100111011111100110100…
…00001111011001001010100
320001000102011100201212111200
422131332122001323021110
522013311103143011432
6241530350052232500
712461206340254536
oct1235763201731124
9201012140655450
1046040338641492
1113740663991968
1251b6b1430b730
131c8c77bbb6ca0
14b52515827856
1554c93527ea7c
hex29df9a07b254

46040338641492 has 72 divisors (see below), whose sum is σ = 125338855782504. Its totient is φ = 14165486862336.

The previous prime is 46040338641491. The next prime is 46040338641509. The reversal of 46040338641492 is 29414683304064.

46040338641492 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 0 + 33 + 86 + 41 + 492 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278441960976 + 45761896680516 = 527676^2 + 6764754^2 .

It is a super-2 number, since 2×460403386414922 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46040338641491) 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, 5958148 + ... + 11295140.

Almost surely, 246040338641492 is an apocalyptic number.

It is an amenable number.

46040338641492 is an abundant number, since it is smaller than the sum of its proper divisors (79298517141012).

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

46040338641492 is a wasteful number, since it uses less digits than its factorization.

46040338641492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355449 (or 5355444 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 46040338641492 in words is "forty-six trillion, forty billion, three hundred thirty-eight million, six hundred forty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 18433 36866 55299 73732 110598 165897 221196 239629 331794 479258 663588 718887 958516 1437774 2156661 2875548 4313322 5336993 8626644 10673986 16010979 21347972 32021958 48032937 64043916 69380909 96065874 138761818 192131748 208142727 277523636 416285454 624428181 832570908 1248856362 2497712724 98376791969 196753583938 295130375907 393507167876 590260751814 885391127721 1180521503628 1278898295597 1770782255442 2557796591194 3541564510884 3836694886791 5115593182388 7673389773582 11510084660373 15346779547164 23020169320746 46040338641492