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21554120144 = 241924386783
BaseRepresentation
bin10100000100101110…
…011100010111010000
32001122010212202022002
4110010232130113100
5323120323321034
613522443333132
71362062666264
oct240456342720
961563782262
1021554120144
119160814537
1242165211a8
13205666875b
1410868760a4
15862405e7e
hex504b9c5d0

21554120144 has 60 divisors (see below), whose sum is σ = 45100256256. Its totient is φ = 9972293184.

The previous prime is 21554120143. The next prime is 21554120171. The reversal of 21554120144 is 44102145512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21554120143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204977 + ... + 291759.

Almost surely, 221554120144 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 21554120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22550128128).

21554120144 is an abundant number, since it is smaller than the sum of its proper divisors (23546136112).

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

21554120144 is a wasteful number, since it uses less digits than its factorization.

21554120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86872 (or 86847 counting only the distinct ones).

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

Adding to 21554120144 its reverse (44102145512), we get a palindrome (65656265656).

The spelling of 21554120144 in words is "twenty-one billion, five hundred fifty-four million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 361 688 722 817 1444 1634 2888 3268 5776 6536 13072 15523 31046 62092 86783 124184 173566 248368 347132 694264 1388528 1648877 3297754 3731669 6595508 7463338 13191016 14926676 26382032 29853352 31328663 59706704 62657326 70901711 125314652 141803422 250629304 283606844 501258608 567213688 1134427376 1347132509 2694265018 5388530036 10777060072 21554120144