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6030265190400 = 211345211261197
BaseRepresentation
bin101011111000000011111…
…0100001000100000000000
3210100111011112211112010000
41113300013310020200000
51242244440342043100
620454133211040000
71161446410246653
oct127600764104000
923314145745100
106030265190400
111a1546a544a00
12814857740000
13349861655799
1416bc1b54989a
15a6cdaee6900
hex57c07d08800

6030265190400 has 2160 divisors, whose sum is σ = 25078958164260. Its totient is φ = 1430618112000.

The previous prime is 6030265190393. The next prime is 6030265190401. The reversal of 6030265190400 is 40915620306.

It is a happy number.

6030265190400 is a `hidden beast` number, since 6 + 0 + 3 + 0 + 2 + 65 + 190 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2283532010496 + 3746733179904 = 1511136^2 + 1935648^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6030265190401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 30610483102 + ... + 30610483298.

Almost surely, 26030265190400 is an apocalyptic number.

6030265190400 is a gapful number since it is divisible by the number (60) 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 6030265190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539479082130).

6030265190400 is an abundant number, since it is smaller than the sum of its proper divisors (19048692973860).

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

6030265190400 is a wasteful number, since it uses less digits than its factorization.

6030265190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 6030265190400 in words is "six trillion, thirty billion, two hundred sixty-five million, one hundred ninety thousand, four hundred".