Search a number
-
+
21210267744 = 253361939659
BaseRepresentation
bin10011110000001110…
…110000000001100000
32000202011212020111000
4103300032300001200
5321414312031434
613424401352000
71350416205201
oct236016600140
960664766430
1021210267744
118aa47090a6
12413b338600
1320003557b3
141052d295a8
15842133b99
hex4f03b0060

21210267744 has 96 divisors (see below), whose sum is σ = 61964784000. Its totient is φ = 7058489472.

The previous prime is 21210267733. The next prime is 21210267761. The reversal of 21210267744 is 44776201212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21210267699 and 21210267708.

It is a congruent number.

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, 514987 + ... + 554645.

It is an arithmetic number, because the mean of its divisors is an integer number (645466500).

Almost surely, 221210267744 is an apocalyptic number.

21210267744 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 21210267744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30982392000).

21210267744 is an abundant number, since it is smaller than the sum of its proper divisors (40754516256).

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

21210267744 is a wasteful number, since it uses less digits than its factorization.

21210267744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40297 (or 40283 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 21210267744 its reverse (44776201212), we get a palindrome (65986468956).

The spelling of 21210267744 in words is "twenty-one billion, two hundred ten million, two hundred sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 619 864 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 16713 19808 22284 29712 33426 39659 44568 59424 66852 79318 89136 118977 133704 158636 178272 237954 267408 317272 356931 475908 534816 634544 713862 951816 1070793 1269088 1427724 1903632 2141586 2855448 3807264 4283172 5710896 8566344 11421792 17132688 24548921 34265376 49097842 73646763 98195684 147293526 196391368 220940289 294587052 392782736 441880578 589174104 662820867 785565472 883761156 1178348208 1325641734 1767522312 2356696416 2651283468 3535044624 5302566936 7070089248 10605133872 21210267744