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2046446016 = 263291572341
BaseRepresentation
bin111100111111010…
…0100100111000000
312021121202020011220
41321332210213000
513142342233031
6535022235040
7101466334626
oct17176444700
95247666156
102046446016
119601901aa
12491425a80
13267c89c04
14155b09516
15be9d9596
hex79fa49c0

2046446016 has 112 divisors (see below), whose sum is σ = 5639348640. Its totient is φ = 654151680.

The previous prime is 2046445967. The next prime is 2046446021. The reversal of 2046446016 is 6106446402.

2046446016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 873006 + ... + 875346.

Almost surely, 22046446016 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 2046446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819674320).

2046446016 is an abundant number, since it is smaller than the sum of its proper divisors (3592902624).

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

2046446016 is a wasteful number, since it uses less digits than its factorization.

2046446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2046446016 is about 45237.6614780207. The cubic root of 2046446016 is about 1269.5995629263.

The spelling of 2046446016 in words is "two billion, forty-six million, four hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 157 174 192 232 314 348 464 471 628 696 928 942 1256 1392 1856 1884 2341 2512 2784 3768 4553 4682 5024 5568 7023 7536 9106 9364 10048 13659 14046 15072 18212 18728 27318 28092 30144 36424 37456 54636 56184 67889 72848 74912 109272 112368 135778 145696 149824 203667 218544 224736 271556 291392 367537 407334 437088 449472 543112 735074 814668 874176 1086224 1102611 1470148 1629336 2172448 2205222 2940296 3258672 4344896 4410444 5880592 6517344 8820888 10658573 11761184 13034688 17641776 21317146 23522368 31975719 35283552 42634292 63951438 70567104 85268584 127902876 170537168 255805752 341074336 511611504 682148672 1023223008 2046446016