Search a number
-
+
21717540544 = 267316132551
BaseRepresentation
bin10100001110011101…
…110101111011000000
32002001112101100221111
4110032131311323000
5323434142244134
613551002133104
71366116022510
oct241635657300
962045340844
1021717540544
119234a92717
1242611b1194
13208148600b
1410a0455840
15871936c64
hex50e775ec0

21717540544 has 112 divisors (see below), whose sum is σ = 50943963136. Its totient is φ = 8989056000.

The previous prime is 21717540529. The next prime is 21717540553. The reversal of 21717540544 is 44504571712.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 21717540497 and 21717540506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8512069 + ... + 8514619.

Almost surely, 221717540544 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 21717540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25471981568).

21717540544 is an abundant number, since it is smaller than the sum of its proper divisors (29226422592).

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

21717540544 is a wasteful number, since it uses less digits than its factorization.

21717540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 21717540544 in words is "twenty-one billion, seven hundred seventeen million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 613 868 992 1226 1736 1984 2452 2551 3472 4291 4904 5102 6944 8582 9808 10204 13888 17164 17857 19003 19616 20408 34328 35714 38006 39232 40816 68656 71428 76012 79081 81632 133021 137312 142856 152024 158162 163264 266042 274624 285712 304048 316324 532084 553567 571424 608096 632648 1064168 1107134 1142848 1216192 1265296 1563763 2128336 2214268 2530592 3127526 4256672 4428536 5061184 6255052 8513344 8857072 10946341 12510104 17714144 21892682 25020208 35428288 43785364 48476653 50040416 87570728 96953306 100080832 175141456 193906612 339336571 350282912 387813224 678673142 700565824 775626448 1357346284 1551252896 2714692568 3102505792 5429385136 10858770272 21717540544