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2720771648 = 26722929917
BaseRepresentation
bin1010001000101011…
…1010111001000000
321000121121112001022
42202022322321000
521033004143043
61125551325012
7124265114600
oct24212727100
97017545038
102720771648
111176894011
1263b220768
133448aa16a
141bb4bcc00
1510dcd9868
hexa22bae40

2720771648 has 84 divisors (see below), whose sum is σ = 6497292060. Its totient is φ = 1125798912.

The previous prime is 2720771629. The next prime is 2720771657. The reversal of 2720771648 is 8461770272.

It can be written as a sum of positive squares in 2 ways, for example, as 2022121024 + 698650624 = 44968^2 + 26432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2720771599 and 2720771608.

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 11 ways as a sum of consecutive naturals, for example, 75986 + ... + 105902.

It is an arithmetic number, because the mean of its divisors is an integer number (77348715).

Almost surely, 22720771648 is an apocalyptic number.

2720771648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248646030).

2720771648 is an abundant number, since it is smaller than the sum of its proper divisors (3776520412).

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

2720771648 is a wasteful number, since it uses less digits than its factorization.

2720771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29972 (or 29955 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The square root of 2720771648 is about 52161.0165545113. The cubic root of 2720771648 is about 1396.0384003799.

The spelling of 2720771648 in words is "two billion, seven hundred twenty million, seven hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 196 203 224 232 392 406 448 464 784 812 928 1421 1568 1624 1856 2842 3136 3248 5684 6496 11368 12992 22736 29917 45472 59834 90944 119668 209419 239336 418838 478672 837676 867593 957344 1465933 1675352 1735186 1914688 2931866 3350704 3470372 5863732 6073151 6701408 6940744 11727464 12146302 13402816 13881488 23454928 24292604 27762976 42512057 46909856 48585208 55525952 85024114 93819712 97170416 170048228 194340832 340096456 388681664 680192912 1360385824 2720771648