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2056815968 = 251917918899
BaseRepresentation
bin111101010011000…
…1000010101100000
312022100021002002012
41322212020111200
513203021102333
6540032412052
7101653435004
oct17246102540
95270232065
102056815968
11966023309
124949a7028
1326a17ac8c
14157248704
15c0886e48
hex7a988560

2056815968 has 48 divisors (see below), whose sum is σ = 4286520000. Its totient is φ = 968787072.

The previous prime is 2056815967. The next prime is 2056815991. The reversal of 2056815968 is 8695186502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056815967) 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 7 ways as a sum of consecutive naturals, for example, 99383 + ... + 118281.

It is an arithmetic number, because the mean of its divisors is an integer number (89302500).

Almost surely, 22056815968 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 2056815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143260000).

2056815968 is an abundant number, since it is smaller than the sum of its proper divisors (2229704032).

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

2056815968 is a wasteful number, since it uses less digits than its factorization.

2056815968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19107 (or 19099 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The square root of 2056815968 is about 45352.1330038621. The cubic root of 2056815968 is about 1271.7404306655.

The spelling of 2056815968 in words is "two billion, fifty-six million, eight hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 179 304 358 608 716 1432 2864 3401 5728 6802 13604 18899 27208 37798 54416 75596 108832 151192 302384 359081 604768 718162 1436324 2872648 3382921 5745296 6765842 11490592 13531684 27063368 54126736 64275499 108253472 128550998 257101996 514203992 1028407984 2056815968