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2781064416 = 253132228417
BaseRepresentation
bin1010010111000011…
…1010110011100000
321011211001201011210
42211300322303200
521143423030131
61135543510120
7125626441344
oct24560726340
97154051153
102781064416
1111a7924949
12657458340
1335422a460
141c54d5624
15114249146
hexa5c3ace0

2781064416 has 48 divisors (see below), whose sum is σ = 7861858704. Its totient is φ = 855711744.

The previous prime is 2781064397. The next prime is 2781064421. The reversal of 2781064416 is 6144601872.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1112961 + ... + 1115456.

It is an arithmetic number, because the mean of its divisors is an integer number (163788723).

Almost surely, 22781064416 is an apocalyptic number.

2781064416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2781064416 is an abundant number, since it is smaller than the sum of its proper divisors (5080794288).

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

2781064416 is a wasteful number, since it uses less digits than its factorization.

2781064416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228443 (or 2228435 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2781064416 is about 52735.7982399053. The cubic root of 2781064416 is about 1406.2753019290.

The spelling of 2781064416 in words is "two billion, seven hundred eighty-one million, sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2228417 4456834 6685251 8913668 13370502 17827336 26741004 28969421 35654672 53482008 57938842 71309344 86908263 106964016 115877684 173816526 213928032 231755368 347633052 463510736 695266104 927021472 1390532208 2781064416