Search a number
-
+
21131646744 = 23313312184827
BaseRepresentation
bin10011101011100010…
…110101011100011000
32000112200220212202010
4103223202311130120
5321234200143434
613412512305520
71345443014355
oct235342653430
960480825663
1021131646744
118a64299a6a
124118b422a0
131cb9c88cb0
14104670162c
1583a2a39e9
hex4eb8b5718

21131646744 has 64 divisors (see below), whose sum is σ = 58728176640. Its totient is φ = 6292298880.

The previous prime is 21131646743. The next prime is 21131646751. The reversal of 21131646744 is 44764613112.

It is a super-2 number, since 2×211316467442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131646743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082742 + ... + 1102085.

It is an arithmetic number, because the mean of its divisors is an integer number (917627760).

Almost surely, 221131646744 is an apocalyptic number.

21131646744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21131646744 is an abundant number, since it is smaller than the sum of its proper divisors (37596529896).

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

21131646744 is a wasteful number, since it uses less digits than its factorization.

21131646744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184880 (or 2184876 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The spelling of 21131646744 in words is "twenty-one billion, one hundred thirty-one million, six hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 2184827 4369654 6554481 8739308 13108962 17478616 26217924 28402751 52435848 56805502 67729637 85208253 113611004 135459274 170416506 203188911 227222008 270918548 340833012 406377822 541837096 681666024 812755644 880485281 1625511288 1760970562 2641455843 3521941124 5282911686 7043882248 10565823372 21131646744