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46666066416 = 2432943177783
BaseRepresentation
bin101011011101100000…
…111010100111110000
311110110020102210112020
4223131200322213300
51231033003111131
633234343431440
73241300006524
oct533540724760
9143406383466
1046666066416
1118877861442
129064455580
134529139168
142389a3dd84
151331d3c996
hexadd83a9f0

46666066416 has 80 divisors (see below), whose sum is σ = 125001999360. Its totient is φ = 14983924480.

The previous prime is 46666066399. The next prime is 46666066423. The reversal of 46666066416 is 61466066664.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 561061 + ... + 638843.

It is an arithmetic number, because the mean of its divisors is an integer number (1562524992).

Almost surely, 246666066416 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 46666066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62500999680).

46666066416 is an abundant number, since it is smaller than the sum of its proper divisors (78335932944).

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

46666066416 is a wasteful number, since it uses less digits than its factorization.

46666066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78254 (or 78248 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 46666066416 in words is "forty-six billion, six hundred sixty-six million, sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 431 464 696 862 1293 1392 1724 2586 3448 5172 6896 10344 12499 20688 24998 37497 49996 74994 77783 99992 149988 155566 199984 233349 299976 311132 466698 599952 622264 933396 1244528 1866792 2255707 3733584 4511414 6767121 9022828 13534242 18045656 27068484 33524473 36091312 54136968 67048946 100573419 108273936 134097892 201146838 268195784 402293676 536391568 804587352 972209717 1609174704 1944419434 2916629151 3888838868 5833258302 7777677736 11666516604 15555355472 23333033208 46666066416