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6478378272 = 253325129873
BaseRepresentation
bin1100000100010010…
…00011010100100000
3121201111012201022000
412002021003110200
5101231431101042
62550502044000
7316353210132
oct60211032440
917644181260
106478378272
11282496a533
121309719600
137c3220532
14456577052
1527db2e74c
hex182243520

6478378272 has 96 divisors (see below), whose sum is σ = 18971184960. Its totient is φ = 2150784000.

The previous prime is 6478378261. The next prime is 6478378273. The reversal of 6478378272 is 2728738746.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6478378273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201928 + ... + 231800.

It is an arithmetic number, because the mean of its divisors is an integer number (197616510).

Almost surely, 26478378272 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 6478378272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485592480).

6478378272 is an abundant number, since it is smaller than the sum of its proper divisors (12492806688).

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

6478378272 is a wasteful number, since it uses less digits than its factorization.

6478378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30143 (or 30129 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 6478378272 is about 80488.3735206520. The cubic root of 6478378272 is about 1864.1839632517.

The spelling of 6478378272 in words is "six billion, four hundred seventy-eight million, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 251 288 432 502 753 864 1004 1506 2008 2259 3012 4016 4518 6024 6777 8032 9036 12048 13554 18072 24096 27108 29873 36144 54216 59746 72288 89619 108432 119492 179238 216864 238984 268857 358476 477968 537714 716952 806571 955936 1075428 1433904 1613142 2150856 2867808 3226284 4301712 6452568 7498123 8603424 12905136 14996246 22494369 25810272 29992492 44988738 59984984 67483107 89977476 119969968 134966214 179954952 202449321 239939936 269932428 359909904 404898642 539864856 719819808 809797284 1079729712 1619594568 2159459424 3239189136 6478378272