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2068755456 = 21034315661
BaseRepresentation
bin111101101001110…
…1011010000000000
312100011201122222110
41323103223100000
513214100133311
6541140335320
7102160063005
oct17323532000
95304648873
102068755456
11971838659
124989a4540
1326c79b571
14158a758ac
15c19448a6
hex7b4eb400

2068755456 has 88 divisors (see below), whose sum is σ = 5642580064. Its totient is φ = 673505280.

The previous prime is 2068755443. The next prime is 2068755467. The reversal of 2068755456 is 6545578602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 124266 + ... + 139926.

It is an arithmetic number, because the mean of its divisors is an integer number (64120228).

Almost surely, 22068755456 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 2068755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821290032).

2068755456 is an abundant number, since it is smaller than the sum of its proper divisors (3573824608).

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

2068755456 is a wasteful number, since it uses less digits than its factorization.

2068755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The square root of 2068755456 is about 45483.5734743874. The cubic root of 2068755456 is about 1274.1964345302.

The spelling of 2068755456 in words is "two billion, sixty-eight million, seven hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3072 4128 5504 8256 11008 15661 16512 22016 31322 33024 44032 46983 62644 66048 93966 125288 132096 187932 250576 375864 501152 673423 751728 1002304 1346846 1503456 2004608 2020269 2693692 3006912 4009216 4040538 5387384 6013824 8018432 8081076 10774768 12027648 16036864 16162152 21549536 24055296 32324304 43099072 48110592 64648608 86198144 129297216 172396288 258594432 344792576 517188864 689585152 1034377728 2068755456