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46440934396896 = 2531324760903907
BaseRepresentation
bin10101000111100110111110…
…11001011101001111100000
320002102201011120022202021110
422203303133121131033200
522041342013201200041
6242434400513423320
712532150435066014
oct1243633731351740
9202381146282243
1046440934396896
11138855428330a6
125260692b6ab40
131cbb490a95c00
14b67a78b8a544
1555807e108516
hex2a3cdf65d3e0

46440934396896 has 144 divisors (see below), whose sum is σ = 134814941823744. Its totient is φ = 13985485742592.

The previous prime is 46440934396891. The next prime is 46440934396903. The reversal of 46440934396896 is 69869343904464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46440934396891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29689426 + ... + 31214481.

It is an arithmetic number, because the mean of its divisors is an integer number (936214873776).

Almost surely, 246440934396896 is an apocalyptic number.

It is an amenable number.

46440934396896 is an abundant number, since it is smaller than the sum of its proper divisors (88374007426848).

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

46440934396896 is a wasteful number, since it uses less digits than its factorization.

46440934396896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60903993 (or 60903972 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 75.

The spelling of 46440934396896 in words is "forty-six trillion, four hundred forty billion, nine hundred thirty-four million, three hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 169 188 208 282 312 338 376 416 507 564 611 624 676 752 1014 1128 1222 1248 1352 1504 1833 2028 2256 2444 2704 3666 4056 4512 4888 5408 7332 7943 8112 9776 14664 15886 16224 19552 23829 29328 31772 47658 58656 63544 95316 127088 190632 254176 381264 762528 60903907 121807814 182711721 243615628 365423442 487231256 730846884 791750791 974462512 1461693768 1583501582 1948925024 2375252373 2862483629 2923387536 3167003164 4750504746 5724967258 5846775072 6334006328 8587450887 9501009492 10292760283 11449934516 12668012656 17174901774 19002018984 20585520566 22899869032 25336025312 30878280849 34349803548 37212287177 38004037968 41171041132 45799738064 61756561698 68699607096 74424574354 76008075936 82342082264 91599476128 111636861531 123513123396 137399214192 148849148708 164684164528 223273723062 247026246792 274798428384 297698297416 329368329056 446547446124 483759733301 494052493584 595396594832 893094892248 967519466602 988104987168 1190793189664 1451279199903 1786189784496 1935038933204 2902558399806 3572379568992 3870077866408 5805116799612 7740155732816 11610233599224 15480311465632 23220467198448 46440934396896