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46974344347964 = 221122941109748871
BaseRepresentation
bin10101010111001000100010…
…00110111100000100111100
320011022200222211020211101002
422223210101012330010330
522124111424123113324
6243523414344105432
712615533020625465
oct1253442106740474
9204280884224332
1046974344347964
1113a70786847300
125327b38a65278
13202987a8a70a7
14b857db255d6c
15566d9cdd63ae
hex2ab9111bc13c

46974344347964 has 144 divisors (see below), whose sum is σ = 96631896715200. Its totient is φ = 19928329344000.

The previous prime is 46974344347873. The next prime is 46974344348017.

It is a happy number.

46974344347964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46974344347891 and 46974344347900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62352449 + ... + 63101319.

It is an arithmetic number, because the mean of its divisors is an integer number (671054838300).

Almost surely, 246974344347964 is an apocalyptic number.

46974344347964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46974344347964 is an abundant number, since it is smaller than the sum of its proper divisors (49657552367236).

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

46974344347964 is a wasteful number, since it uses less digits than its factorization.

46974344347964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749076 (or 749063 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 74.

The spelling of 46974344347964 in words is "forty-six trillion, nine hundred seventy-four billion, three hundred forty-four million, three hundred forty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 29 41 44 58 82 109 116 121 164 218 242 319 436 451 484 638 902 1189 1199 1276 1804 2378 2398 3161 3509 4469 4756 4796 4961 6322 7018 8938 9922 12644 13079 13189 14036 17876 19844 26158 26378 34771 49159 52316 52756 69542 98318 129601 139084 143869 196636 259202 287738 382481 518404 540749 575476 748871 764962 1081498 1425611 1497742 1529924 2162996 2851222 2995484 5702444 8237581 15681721 16475162 21717259 30703711 31363442 32950324 43434518 61407422 62726884 81626939 86869036 90613391 122814844 163253878 181226782 238889849 326507756 337740821 362453564 477779698 675481642 890407619 897896329 955559396 1350963284 1780815238 1795792658 2367181231 2627788339 3346704499 3561630476 3591585316 3715149031 4734362462 5255576678 6693408998 7430298062 9468724924 9794483809 9876859619 10511153356 13386817996 14860596124 19588967618 19753719238 26038993541 36813749489 39177935236 39507438476 52077987082 73627498978 97054430471 104155974164 107739321899 147254997956 194108860942 215478643798 286428928951 388217721884 404951244379 430957287596 572857857902 809902488758 1067598735181 1145715715804 1619804977516 2135197470362 4270394940724 11743586086991 23487172173982 46974344347964