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46966644666964 = 22117341051356197
BaseRepresentation
bin10101010110111010001100…
…01010111111001001010100
320011021222010012221111200201
422223131012022333021110
522124000142013320324
6243520102333150244
712615141144464101
oct1253350612771124
9204258105844621
1046966644666964
1113a68495550a80
12532654a32b384
132028c21644029
14b852aa805aa8
15566a9be5e444
hex2ab7462bf254

46966644666964 has 48 divisors (see below), whose sum is σ = 90894332079936. Its totient is φ = 21055457952000.

The previous prime is 46966644666959. The next prime is 46966644666979.

46966644666964 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×469666446669643 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131677714 + ... + 132033910.

It is an arithmetic number, because the mean of its divisors is an integer number (1893631918332).

Almost surely, 246966644666964 is an apocalyptic number.

46966644666964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46966644666964 is a deficient number, since it is larger than the sum of its proper divisors (43927687412972).

46966644666964 is a wasteful number, since it uses less digits than its factorization.

46966644666964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397336 (or 397334 counting only the distinct ones).

The product of its digits is 34828517376, while the sum is 82.

It can be divided in two parts, 4696664 and 4666964, that added together give a triangular number (9363628 = T4327).

The spelling of 46966644666964 in words is "forty-six trillion, nine hundred sixty-six billion, six hundred forty-four million, six hundred sixty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 44 73 146 292 803 1606 3212 41051 82102 164204 356197 451561 712394 903122 1424788 1806244 2996723 3918167 5993446 7836334 11986892 15672668 26002381 32963953 52004762 65927906 104009524 131855812 286026191 572052382 1144104764 14622243047 29244486094 58488972188 160844673517 321689347034 643378694068 1067423742431 2134847484862 4269694969724 11741661166741 23483322333482 46966644666964