Search a number
-
+
21036692544 = 2637243149349
BaseRepresentation
bin10011100101111000…
…100111010001000000
32000022002020201001220
4103211320213101000
5321040343130134
613355241155040
71343210636100
oct234570472100
960262221056
1021036692544
118a1573451a
1240b118ba80
131ca33c108a
141037c65200
15831c99149
hex4e5e27440

21036692544 has 336 divisors, whose sum is σ = 66888360000. Its totient is φ = 5814595584.

The previous prime is 21036692527. The next prime is 21036692641. The reversal of 21036692544 is 44529663012.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21036692496 and 21036692505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60276882 + ... + 60277230.

It is an arithmetic number, because the mean of its divisors is an integer number (199072500).

Almost surely, 221036692544 is an apocalyptic number.

21036692544 is a gapful number since it is divisible by the number (24) 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 21036692544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33444180000).

21036692544 is an abundant number, since it is smaller than the sum of its proper divisors (45851667456).

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

21036692544 is a wasteful number, since it uses less digits than its factorization.

21036692544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 21036692544 in words is "twenty-one billion, thirty-six million, six hundred ninety-two thousand, five hundred forty-four".