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21293611040 = 2551338926317
BaseRepresentation
bin10011110101001100…
…101011100000100000
32000221222200111222202
4103311030223200200
5322102131023130
613440535552332
71352450464442
oct236514534040
960858614882
1021293611040
119037763159
12416322b6a8
1320146b6860
141060022492
158495e8145
hex4f532b820

21293611040 has 96 divisors (see below), whose sum is σ = 54317193840. Its totient is φ = 7841746944.

The previous prime is 21293611039. The next prime is 21293611081. The reversal of 21293611040 is 4011639212.

It can be written as a sum of positive squares in 8 ways, for example, as 4079121424 + 17214489616 = 63868^2 + 131204^2 .

It is a super-2 number, since 2×212936110402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21293610994 and 21293611012.

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, 795962 + ... + 822278.

Almost surely, 221293611040 is an apocalyptic number.

21293611040 is a gapful number since it is divisible by the number (20) 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 21293611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158596920).

21293611040 is an abundant number, since it is smaller than the sum of its proper divisors (33023582800).

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

21293611040 is a wasteful number, since it uses less digits than its factorization.

21293611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26734 (or 26726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 21293611040 in words is "twenty-one billion, two hundred ninety-three million, six hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 389 416 520 778 1040 1556 1945 2080 3112 3890 5057 6224 7780 10114 12448 15560 20228 25285 26317 31120 40456 50570 52634 62240 80912 101140 105268 131585 161824 202280 210536 263170 342121 404560 421072 526340 684242 809120 842144 1052680 1368484 1710605 2105360 2736968 3421210 4210720 5473936 6842420 10237313 10947872 13684840 20474626 27369680 40949252 51186565 54739360 81898504 102373130 133085069 163797008 204746260 266170138 327594016 409492520 532340276 665425345 818985040 1064680552 1330850690 1637970080 2129361104 2661701380 4258722208 5323402760 10646805520 21293611040