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2081655456 = 253314316267
BaseRepresentation
bin111110000010011…
…1000101010100000
312101002000001110020
41330010320222200
513230400433311
6542321033440
7102404531226
oct17404705240
95332001406
102081655456
11979049611
124a1185880
132723670ba
1415a672b16
15c2b41c06
hex7c138aa0

2081655456 has 96 divisors (see below), whose sum is σ = 5772146688. Its totient is φ = 655845120.

The previous prime is 2081655431. The next prime is 2081655469. The reversal of 2081655456 is 6545561802.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119835 + ... + 136101.

It is an arithmetic number, because the mean of its divisors is an integer number (60126528).

Almost surely, 22081655456 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 2081655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886073344).

2081655456 is an abundant number, since it is smaller than the sum of its proper divisors (3690491232).

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

2081655456 is a wasteful number, since it uses less digits than its factorization.

2081655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16354 (or 16346 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2081655456 is about 45625.1625312174. The cubic root of 2081655456 is about 1276.8394223731.

The spelling of 2081655456 in words is "two billion, eighty-one million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 86 93 96 124 129 172 186 248 258 344 372 496 516 688 744 992 1032 1333 1376 1488 2064 2666 2976 3999 4128 5332 7998 10664 15996 16267 21328 31992 32534 42656 48801 63984 65068 97602 127968 130136 195204 260272 390408 504277 520544 699481 780816 1008554 1398962 1512831 1561632 2017108 2098443 2797924 3025662 4034216 4196886 5595848 6051324 8068432 8393772 11191696 12102648 16136864 16787544 21683911 22383392 24205296 33575088 43367822 48410592 65051733 67150176 86735644 130103466 173471288 260206932 346942576 520413864 693885152 1040827728 2081655456