Search a number
-
+
28040201473536 = 2932721132813911
BaseRepresentation
bin1100110000000100111100…
…01111111000111000000000
310200021121122212000100202100
412120002132033320320000
512133402313034123121
6135345253555150400
75622560221644300
oct630023617707000
9120247585010670
1028040201473536
118a308677a836a
12318a4668a5400
13128524490c355
146cd21db51600
153395cb32e026
hex19809e3f8e00

28040201473536 has 720 divisors, whose sum is σ = 95333743615968. Its totient is φ = 7910306611200.

The previous prime is 28040201473483. The next prime is 28040201473597. The reversal of 28040201473536 is 63537410204082.

28040201473536 is a `hidden beast` number, since 2 + 8 + 0 + 40 + 2 + 0 + 1 + 4 + 73 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28040201473491 and 28040201473500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7169571421 + ... + 7169575331.

Almost surely, 228040201473536 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 28040201473536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47666871807984).

28040201473536 is an abundant number, since it is smaller than the sum of its proper divisors (67293542142432).

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

28040201473536 is a wasteful number, since it uses less digits than its factorization.

28040201473536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 28040201473536 in words is "twenty-eight trillion, forty billion, two hundred one million, four hundred seventy-three thousand, five hundred thirty-six".