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46539459893856 = 2537926472318297
BaseRepresentation
bin10101001010011110011111…
…11110011001101001100000
320002210010110222102120121110
422211033033332121221200
522100000303213100411
6242551533245023320
712542236126021566
oct1245171776315140
9202703428376543
1046539459893856
1113913301913246
1252777aab54b40
131cc7862c6c837
14b6c744063a36
1555a8e8b832a6
hex2a53cff99a60

46539459893856 has 96 divisors (see below), whose sum is σ = 123759278576640. Its totient is φ = 15310991195136.

The previous prime is 46539459893789. The next prime is 46539459893891. The reversal of 46539459893856 is 65839895493564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×465394598938562 (a number of 28 digits) contains 22 as substring.

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, 18915700 + ... + 21233996.

It is an arithmetic number, because the mean of its divisors is an integer number (1289159151840).

Almost surely, 246539459893856 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 46539459893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61879639288320).

46539459893856 is an abundant number, since it is smaller than the sum of its proper divisors (77219818682784).

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

46539459893856 is a wasteful number, since it uses less digits than its factorization.

46539459893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321036 (or 2321028 counting only the distinct ones).

The product of its digits is 30233088000, while the sum is 84.

The spelling of 46539459893856 in words is "forty-six trillion, five hundred thirty-nine billion, four hundred fifty-nine million, eight hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 2647 3792 5294 7584 7941 10588 15882 21176 31764 42352 63528 84704 127056 209113 254112 418226 627339 836452 1254678 1672904 2318297 2509356 3345808 4636594 5018712 6691616 6954891 9273188 10037424 13909782 18546376 20074848 27819564 37092752 55639128 74185504 111278256 183145463 222556512 366290926 549436389 732581852 1098872778 1465163704 2197745556 2930327408 4395491112 5860654816 6136532159 8790982224 12273064318 17581964448 18409596477 24546128636 36819192954 49092257272 73638385908 98184514544 147276771816 196369029088 294553543632 484786040561 589107087264 969572081122 1454358121683 1939144162244 2908716243366 3878288324488 5817432486732 7756576648976 11634864973464 15513153297952 23269729946928 46539459893856