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23320382976 = 293311153359
BaseRepresentation
bin10101101110000000…
…001100111000000000
32020012020102012102000
4111232000030320000
5340230004223401
614414020424000
71453620661512
oct255600147000
966166365360
1023320382976
119987825990
124629b48000
1322785757a7
1411b3289bb2
159174e8186
hex56e00ce00

23320382976 has 160 divisors (see below), whose sum is σ = 75305894400. Its totient is φ = 7066736640.

The previous prime is 23320382971. The next prime is 23320382983. The reversal of 23320382976 is 67928302332.

23320382976 is a `hidden beast` number, since 2 + 3 + 320 + 38 + 297 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320382971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75385 + ... + 228743.

It is an arithmetic number, because the mean of its divisors is an integer number (470661840).

Almost surely, 223320382976 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 23320382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652947200).

23320382976 is an abundant number, since it is smaller than the sum of its proper divisors (51985511424).

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

23320382976 is a wasteful number, since it uses less digits than its factorization.

23320382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153397 (or 153375 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23320382976 in words is "twenty-three billion, three hundred twenty million, three hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 153359 306718 460077 613436 920154 1226872 1380231 1686949 1840308 2453744 2760462 3373898 3680616 4140693 4907488 5060847 5520924 6747796 7361232 8281386 9814976 10121694 11041848 13495592 14722464 15182541 16562772 19629952 20243388 22083696 26991184 29444928 30365082 33125544 39259904 40486776 44167392 45547623 53982368 58889856 60730164 66251088 78519808 80973552 88334784 91095246 107964736 117779712 121460328 132502176 161947104 176669568 182190492 215929472 235559424 242920656 265004352 323894208 353339136 364380984 431858944 485841312 530008704 647788416 706678272 728761968 863717888 971682624 1060017408 1295576832 1457523936 1943365248 2120034816 2591153664 2915047872 3886730496 5830095744 7773460992 11660191488 23320382976