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5453776608 = 253749116529
BaseRepresentation
bin1010001010001001…
…00000011011100000
3112002002020120001020
411011010200123200
542132131322413
62301101205440
7252102223230
oct50504403340
915062216036
105453776608
1123495730a5
121082560880
1368bb7b567
1439a463cc0
1521dbddc23
hex1451206e0

5453776608 has 96 divisors (see below), whose sum is σ = 16395644160. Its totient is φ = 1554954240.

The previous prime is 5453776607. The next prime is 5453776609. The reversal of 5453776608 is 8066773545.

It is an interprime number because it is at equal distance from previous prime (5453776607) and next prime (5453776609).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5453776607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321688 + ... + 338216.

It is an arithmetic number, because the mean of its divisors is an integer number (170787960).

Almost surely, 25453776608 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 5453776608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8197822080).

5453776608 is an abundant number, since it is smaller than the sum of its proper divisors (10941867552).

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

5453776608 is a wasteful number, since it uses less digits than its factorization.

5453776608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17040 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The square root of 5453776608 is about 73849.6892884459. The cubic root of 5453776608 is about 1760.2152594840.

The spelling of 5453776608 in words is "five billion, four hundred fifty-three million, seven hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 491 672 982 1473 1964 2946 3437 3928 5892 6874 7856 10311 11784 13748 15712 16529 20622 23568 27496 33058 41244 47136 49587 54992 66116 82488 99174 109984 115703 132232 164976 198348 231406 264464 329952 347109 396696 462812 528928 694218 793392 925624 1388436 1586784 1851248 2776872 3702496 5553744 8115739 11107488 16231478 24347217 32462956 48694434 56810173 64925912 97388868 113620346 129851824 170430519 194777736 227240692 259703648 340861038 389555472 454481384 681722076 779110944 908962768 1363444152 1817925536 2726888304 5453776608