Search a number
-
+
21251644456 = 2374771113723
BaseRepresentation
bin10011110010101100…
…100101110000101000
32000212001201101122211
4103302230211300220
5322010410110311
613432440254504
71351430666050
oct236254456050
960761641584
1021251644456
119015aaa029
124151171434
132008ab1b63
14105861a560
15845aa8821
hex4f2b25c28

21251644456 has 64 divisors (see below), whose sum is σ = 47163617280. Its totient is φ = 8788436160.

The previous prime is 21251644423. The next prime is 21251644471. The reversal of 21251644456 is 65444615212.

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, 130011 + ... + 243733.

It is an arithmetic number, because the mean of its divisors is an integer number (736931520).

Almost surely, 221251644456 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 21251644456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23581808640).

21251644456 is an abundant number, since it is smaller than the sum of its proper divisors (25911972824).

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

21251644456 is a wasteful number, since it uses less digits than its factorization.

21251644456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113854 (or 113850 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 21251644 and 456, that added together give a square (21252100 = 46102).

The spelling of 21251644456 in words is "twenty-one billion, two hundred fifty-one million, six hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 47 56 71 94 142 188 284 329 376 497 568 658 994 1316 1988 2632 3337 3976 6674 13348 23359 26696 46718 93436 113723 186872 227446 454892 796061 909784 1592122 3184244 5344981 6368488 8074333 10689962 16148666 21379924 32297332 37414867 42759848 56520331 64594664 74829734 113040662 149659468 226081324 299318936 379493651 452162648 758987302 1517974604 2656455557 3035949208 5312911114 10625822228 21251644456