Search a number
-
+
21152450144 = 257213490083
BaseRepresentation
bin10011101100110010…
…001100011001100000
32000121011001210122102
4103230302030121200
5321310011401034
613414534225532
71346114600600
oct235462143140
960534053572
1021152450144
118a75008961
124123ab52a8
131cc1390cb7
141049398c00
1583c01297e
hex4ecc8c660

21152450144 has 36 divisors (see below), whose sum is σ = 48442891644. Its totient is φ = 9065335104.

The previous prime is 21152450129. The next prime is 21152450159. The reversal of 21152450144 is 44105425112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21152450129) and next prime (21152450159).

It is a super-2 number, since 2×211524501442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6743474 + ... + 6746609.

It is an arithmetic number, because the mean of its divisors is an integer number (1345635879).

Almost surely, 221152450144 is an apocalyptic number.

It is an amenable number.

21152450144 is an abundant number, since it is smaller than the sum of its proper divisors (27290441500).

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

21152450144 is a wasteful number, since it uses less digits than its factorization.

21152450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13490107 (or 13490092 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 21152450144 its reverse (44105425112), we get a palindrome (65257875256).

The spelling of 21152450144 in words is "twenty-one billion, one hundred fifty-two million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 13490083 26980166 53960332 94430581 107920664 188861162 215841328 377722324 431682656 661014067 755444648 1322028134 1510889296 2644056268 3021778592 5288112536 10576225072 21152450144