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23328900480 = 273518616529
BaseRepresentation
bin10101101110100000…
…101100010110000000
32020012211102221020010
4111232200230112000
5340234144303410
614414523144520
71454053245054
oct255640542600
966184387203
1023328900480
119991613246
124630975140
13227a268632
1411b4465c64
1591812bc20
hex56e82c580

23328900480 has 128 divisors (see below), whose sum is σ = 74412223200. Its totient is φ = 6216744960.

The previous prime is 23328900457. The next prime is 23328900481. The reversal of 23328900480 is 8400982332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23328900481) 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, 3569856 + ... + 3576384.

Almost surely, 223328900480 is an apocalyptic number.

23328900480 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 23328900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37206111600).

23328900480 is an abundant number, since it is smaller than the sum of its proper divisors (51083322720).

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

23328900480 is a wasteful number, since it uses less digits than its factorization.

23328900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 23328900480 in words is "twenty-three billion, three hundred twenty-eight million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1861 1920 3722 5583 6529 7444 9305 11166 13058 14888 18610 19587 22332 26116 27915 29776 32645 37220 39174 44664 52232 55830 59552 65290 74440 78348 89328 97935 104464 111660 119104 130580 148880 156696 178656 195870 208928 223320 238208 261160 297760 313392 357312 391740 417856 446640 522320 595520 626784 714624 783480 835712 893280 1044640 1191040 1253568 1566960 1786560 2089280 2507136 3133920 3573120 4178560 6267840 12150469 12535680 24300938 36451407 48601876 60752345 72902814 97203752 121504690 145805628 182257035 194407504 243009380 291611256 364514070 388815008 486018760 583222512 729028140 777630016 972037520 1166445024 1458056280 1555260032 1944075040 2332890048 2916112560 3888150080 4665780096 5832225120 7776300160 11664450240 23328900480