Search a number
-
+
28478906007552 = 2153771113397
BaseRepresentation
bin1100111100110110000110…
…00100111000000000000000
310201211120000220222210000000
412132123003010320000000
512213044244414220202
6140323010120000000
75666350560651330
oct636330304700000
9121746026883000
1028478906007552
11908a921aa7a60
12323b4a0000000
1312b771aac1910
1470655a4210c0
15345c05b1791c
hex19e6c3138000

28478906007552 has 2048 divisors, whose sum is σ = 114981901977600. Its totient is φ = 6810910064640.

The previous prime is 28478906007529. The next prime is 28478906007593. The reversal of 28478906007552 is 25570060987482.

28478906007552 is a `hidden beast` number, since 2 + 8 + 4 + 78 + 9 + 0 + 6 + 0 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×284789060075522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 28478906007552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71735279418 + ... + 71735279814.

It is an arithmetic number, because the mean of its divisors is an integer number (56143506825).

Almost surely, 228478906007552 is an apocalyptic number.

28478906007552 is a gapful number since it is divisible by the number (22) 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 28478906007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57490950988800).

28478906007552 is an abundant number, since it is smaller than the sum of its proper divisors (86502995970048).

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

28478906007552 is an frugal number, since it uses more digits than its factorization.

28478906007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 28478906007552 in words is "twenty-eight trillion, four hundred seventy-eight billion, nine hundred six million, seven thousand, five hundred fifty-two".