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23842478080 = 21157929473
BaseRepresentation
bin10110001101000111…
…110101100000000000
32021112121211101020201
4112031013311200000
5342312133244310
614541511014544
71502560501621
oct261507654000
967477741221
1023842478080
11a125503743
12475496a454
13232c7957c5
141222753a48
15948277e3a
hex58d1f5800

23842478080 has 96 divisors (see below), whose sum is σ = 57934094400. Its totient is φ = 9415950336.

The previous prime is 23842478069. The next prime is 23842478089. The reversal of 23842478080 is 8087424832.

It is a self number, because there is not a number n which added to its sum of digits gives 23842478080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23842478089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794224 + ... + 823696.

It is an arithmetic number, because the mean of its divisors is an integer number (603480150).

Almost surely, 223842478080 is an apocalyptic number.

23842478080 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 23842478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967047200).

23842478080 is an abundant number, since it is smaller than the sum of its proper divisors (34091616320).

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

23842478080 is an equidigital number, since it uses as much as digits as its factorization.

23842478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29579 (or 29559 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 23842478080 in words is "twenty-three billion, eight hundred forty-two million, four hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 512 632 640 790 1024 1264 1280 1580 2048 2528 2560 3160 5056 5120 6320 10112 10240 12640 20224 25280 29473 40448 50560 58946 80896 101120 117892 147365 161792 202240 235784 294730 404480 471568 589460 808960 943136 1178920 1886272 2328367 2357840 3772544 4656734 4715680 7545088 9313468 9431360 11641835 15090176 18626936 18862720 23283670 30180352 37253872 37725440 46567340 60360704 74507744 75450880 93134680 149015488 150901760 186269360 298030976 301803520 372538720 596061952 745077440 1192123904 1490154880 2384247808 2980309760 4768495616 5960619520 11921239040 23842478080