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1416084856832 = 2133120832677
BaseRepresentation
bin10100100110110101001…
…111000010000000000000
312000101011101111011222002
4110212311033002000000
5141200120210404312
63002312421003132
7204210621452252
oct24466517020000
95011141434862
101416084856832
114a6615a912a8
121aa543b534a8
13a36c8131039
144c778949cd2
1526c803184c2
hex149b53c2000

1416084856832 has 112 divisors (see below), whose sum is σ = 2925847571712. Its totient is φ = 684617564160.

The previous prime is 1416084856807. The next prime is 1416084856853. The reversal of 1416084856832 is 2386584806141.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528980678 + ... + 528983354.

Almost surely, 21416084856832 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 1416084856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462923785856).

1416084856832 is an abundant number, since it is smaller than the sum of its proper divisors (1509762714880).

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

1416084856832 is an equidigital number, since it uses as much as digits as its factorization.

1416084856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 1416084856832 in words is "one trillion, four hundred sixteen billion, eighty-four million, eight hundred fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 2083 2677 3968 4096 4166 5354 7936 8192 8332 10708 15872 16664 21416 31744 33328 42832 63488 64573 66656 82987 85664 126976 129146 133312 165974 171328 253952 258292 266624 331948 342656 516584 533248 663896 685312 1033168 1066496 1327792 1370624 2066336 2132992 2655584 2741248 4132672 4265984 5311168 5482496 5576191 8265344 8531968 10622336 10964992 11152382 16530688 17063936 21244672 21929984 22304764 33061376 42489344 44609528 66122752 84978688 89219056 132245504 169957376 172861921 178438112 264491008 339914752 345723842 356876224 528982016 679829504 691447684 713752448 1382895368 1427504896 2765790736 2855009792 5531581472 5710019584 11063162944 11420039168 22126325888 22840078336 44252651776 45680156672 88505303552 177010607104 354021214208 708042428416 1416084856832