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46311681216 = 263739073643
BaseRepresentation
bin101011001000011001…
…000010110011000000
311102112112121011102110
4223020121002303000
51224321242244331
633135244015320
73226434536523
oct531031026300
9142475534373
1046311681216
1118705811609
128b85831540
1344a08a8c88
142354950bba
151310b89946
hexac8642cc0

46311681216 has 112 divisors (see below), whose sum is σ = 124382605184. Its totient is φ = 15204796416.

The previous prime is 46311681209. The next prime is 46311681239. The reversal of 46311681216 is 61218611364.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12710691 + ... + 12714333.

Almost surely, 246311681216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46311681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62191302592).

46311681216 is an abundant number, since it is smaller than the sum of its proper divisors (78070923968).

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

46311681216 is a wasteful number, since it uses less digits than its factorization.

46311681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4628 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 46311681216 in words is "forty-six billion, three hundred eleven million, six hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 907 1168 1752 1814 2336 2721 3504 3628 3643 4672 5442 7008 7256 7286 10884 10929 14016 14512 14572 21768 21858 29024 29144 43536 43716 58048 58288 66211 87072 87432 116576 132422 174144 174864 198633 233152 264844 265939 349728 397266 529688 531878 699456 794532 797817 1059376 1063756 1589064 1595634 2118752 2127512 3178128 3191268 3304201 4237504 4255024 6356256 6382536 6608402 8510048 9912603 12712512 12765072 13216804 17020096 19825206 25530144 26433608 39650412 51060288 52867216 79300824 105734432 158601648 211468864 241206673 317203296 482413346 634406592 723620019 964826692 1447240038 1929653384 2894480076 3859306768 5788960152 7718613536 11577920304 15437227072 23155840608 46311681216