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6421250560 = 2954615441
BaseRepresentation
bin1011111101011110…
…01000001000000000
3121120111201022210211
411332233020020000
5101122320004220
62541101403504
7315060505054
oct57657101000
917514638724
106421250560
1127a56a064a
1212b2569594
137b443aa5a
1444cb45c64
15278ae7b5a
hex17ebc8200

6421250560 has 80 divisors (see below), whose sum is σ = 15432184152. Its totient is φ = 2562457600.

The previous prime is 6421250551. The next prime is 6421250569. The reversal of 6421250560 is 650521246.

It is an interprime number because it is at equal distance from previous prime (6421250551) and next prime (6421250569).

It can be written as a sum of positive squares in 4 ways, for example, as 5269598464 + 1151652096 = 72592^2 + 33936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×64212505603 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6421250569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1177440 + ... + 1182880.

Almost surely, 26421250560 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 6421250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716092076).

6421250560 is an abundant number, since it is smaller than the sum of its proper divisors (9010933592).

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

6421250560 is an equidigital number, since it uses as much as digits as its factorization.

6421250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 6421250560 is about 80132.7059320974. The cubic root of 6421250560 is about 1858.6881874496.

The spelling of 6421250560 in words is "six billion, four hundred twenty-one million, two hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 461 512 640 922 1280 1844 2305 2560 3688 4610 5441 7376 9220 10882 14752 18440 21764 27205 29504 36880 43528 54410 59008 73760 87056 108820 118016 147520 174112 217640 236032 295040 348224 435280 590080 696448 870560 1180160 1392896 1741120 2508301 2785792 3482240 5016602 6964480 10033204 12541505 13928960 20066408 25083010 40132816 50166020 80265632 100332040 160531264 200664080 321062528 401328160 642125056 802656320 1284250112 1605312640 3210625280 6421250560