Search a number
-
+
21928594752 = 263418612273
BaseRepresentation
bin10100011011000010…
…111100110101000000
32002121020112000220000
4110123002330311000
5324402210013002
614023541520000
71404260660061
oct243302746500
962536460800
1021928594752
119333135889
1242bba13000
1320b611096c
1410c04b4568
1588522661c
hex51b0bcd40

21928594752 has 140 divisors (see below), whose sum is σ = 65066766996. Its totient is φ = 7302389760.

The previous prime is 21928594711. The next prime is 21928594819. The reversal of 21928594752 is 25749582912.

21928594752 is a `hidden beast` number, since 2 + 1 + 92 + 85 + 9 + 475 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7677965376 + 14250629376 = 87624^2 + 119376^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9646288 + ... + 9648560.

Almost surely, 221928594752 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 21928594752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32533383498).

21928594752 is an abundant number, since it is smaller than the sum of its proper divisors (43138172244).

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

21928594752 is a wasteful number, since it uses less digits than its factorization.

21928594752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4139 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 21928594752 in words is "twenty-one billion, nine hundred twenty-eight million, five hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 1861 2273 2592 3722 4546 5184 5583 6819 7444 9092 11166 13638 14888 16749 18184 20457 22332 27276 29776 33498 36368 40914 44664 50247 54552 59552 61371 66996 72736 81828 89328 100494 109104 119104 122742 133992 145472 150741 163656 178656 184113 200988 218208 245484 267984 301482 327312 357312 368226 401976 436416 490968 535968 602964 654624 736452 803952 981936 1071936 1205928 1309248 1472904 1607904 1963872 2411856 2945808 3215808 3927744 4230053 4823712 5891616 8460106 9647424 11783232 12690159 16920212 25380318 33840424 38070477 50760636 67680848 76140954 101521272 114211431 135361696 152281908 203042544 228422862 270723392 304563816 342634293 406085088 456845724 609127632 685268586 812170176 913691448 1218255264 1370537172 1827382896 2436510528 2741074344 3654765792 5482148688 7309531584 10964297376 21928594752