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2796076064 = 25292107971
BaseRepresentation
bin1010011010101000…
…1011110000100000
321012212022101021202
42212222023300200
521211243413224
61141241340332
7126201153155
oct24652136040
97185271252
102796076064
111205348371
126604976a8
133573851a2
141c74c222c
15115711eae
hexa6a8bc20

2796076064 has 72 divisors (see below), whose sum is σ = 5760348048. Its totient is φ = 1335837440.

The previous prime is 2796076061. The next prime is 2796076067. The reversal of 2796076064 is 4606706972.

It is an interprime number because it is at equal distance from previous prime (2796076061) and next prime (2796076067).

It is not an unprimeable number, because it can be changed into a prime (2796076061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2879099 + ... + 2880069.

It is an arithmetic number, because the mean of its divisors is an integer number (80004834).

Almost surely, 22796076064 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 2796076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880174024).

2796076064 is an abundant number, since it is smaller than the sum of its proper divisors (2964271984).

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

2796076064 is a wasteful number, since it uses less digits than its factorization.

2796076064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The square root of 2796076064 is about 52877.9355118938. The cubic root of 2796076064 is about 1408.8010302933.

The spelling of 2796076064 in words is "two billion, seven hundred ninety-six million, seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 107 116 214 232 428 464 841 856 928 971 1682 1712 1942 3103 3364 3424 3884 6206 6728 7768 12412 13456 15536 24824 26912 28159 31072 49648 56318 89987 99296 103897 112636 179974 207794 225272 359948 415588 450544 719896 816611 831176 901088 1439792 1633222 1662352 2879584 3013013 3266444 3324704 6026026 6532888 12052052 13065776 24104104 26131552 48208208 87377377 96416416 174754754 349509508 699019016 1398038032 2796076064