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23052666624 = 2831310122861
BaseRepresentation
bin10101011110000010…
…111100011100000000
32012111120122210121120
4111132002330130000
5334202440312444
614331254352240
71444160301411
oct253602743400
965446583546
1023052666624
11985a6a16a9
12457435b680
132234c6c250
1411898bb808
158edc64b19
hex55e0bc700

23052666624 has 144 divisors (see below), whose sum is σ = 66730337184. Its totient is φ = 7022592000.

The previous prime is 23052666607. The next prime is 23052666649. The reversal of 23052666624 is 42666625032.

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, 996954 + ... + 1019814.

Almost surely, 223052666624 is an apocalyptic number.

23052666624 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 23052666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33365168592).

23052666624 is an abundant number, since it is smaller than the sum of its proper divisors (43677670560).

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

23052666624 is a wasteful number, since it uses less digits than its factorization.

23052666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22994 (or 22980 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 23052666624 in words is "twenty-three billion, fifty-two million, six hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 256 303 312 384 404 416 606 624 768 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3328 3939 4848 4992 5252 6464 7878 9696 9984 10504 12928 15756 19392 21008 22861 25856 31512 38784 42016 45722 63024 68583 77568 84032 91444 126048 137166 168064 182888 252096 274332 297193 336128 365776 504192 548664 594386 731552 891579 1008384 1097328 1188772 1463104 1783158 2194656 2308961 2377544 2926208 3566316 4389312 4617922 4755088 5852416 6926883 7132632 8778624 9235844 9510176 13853766 14265264 17557248 18471688 19020352 27707532 28530528 30016493 36943376 38040704 55415064 57061056 60032986 73886752 76081408 90049479 110830128 114122112 120065972 147773504 180098958 221660256 228244224 240131944 295547008 360197916 443320512 480263888 591094016 720395832 886641024 960527776 1440791664 1773282048 1921055552 2881583328 3842111104 5763166656 7684222208 11526333312 23052666624