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28101301401600 = 2113352731113829
BaseRepresentation
bin1100110001110110110000…
…00101100111100000000000
310200111110101000022022011000
412120323120011213200000
512140402431124322400
6135433320514452000
75630152305525330
oct630733005474000
9120443330268130
1028101301401600
118a54771050689
12319a278b94000
13128ac311c353b
146d21787250c0
1533aea5401600
hex198ed8167800

28101301401600 has 2304 divisors, whose sum is σ = 122998127616000. Its totient is φ = 6153515827200.

The previous prime is 28101301401571. The next prime is 28101301401697. The reversal of 28101301401600 is 610410310182.

It is a happy number.

28101301401600 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 13 + 0 + 1 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×281013014016002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33897829986 + ... + 33897830814.

It is an arithmetic number, because the mean of its divisors is an integer number (53384604000).

Almost surely, 228101301401600 is an apocalyptic number.

28101301401600 is a gapful number since it is divisible by the number (20) 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 28101301401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61499063808000).

28101301401600 is an abundant number, since it is smaller than the sum of its proper divisors (94896826214400).

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

28101301401600 is a wasteful number, since it uses less digits than its factorization.

28101301401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 28101301401600 its reverse (610410310182), we get a palindrome (28711711711782).

The spelling of 28101301401600 in words is "twenty-eight trillion, one hundred one billion, three hundred one million, four hundred one thousand, six hundred".