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468152716120 = 235312931288541
BaseRepresentation
bin1101101000000000001…
…00111000101101011000
31122202101100221001202221
412310000010320231120
530132234043403440
6555022201233424
745552155300245
oct6640004705530
91582340831687
10468152716120
111705a7004781
1276893492874
13351ba14b8bb
14189317145cc
15c29ec60d4a
hex6d00138b58

468152716120 has 64 divisors (see below), whose sum is σ = 1091034282240. Its totient is φ = 180601766400.

The previous prime is 468152716111. The next prime is 468152716127. The reversal of 468152716120 is 21617251864.

It is a super-2 number, since 2×4681527161202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468152716127) 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, 280951 + ... + 1007590.

It is an arithmetic number, because the mean of its divisors is an integer number (17047410660).

Almost surely, 2468152716120 is an apocalyptic number.

468152716120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468152716120 is an abundant number, since it is smaller than the sum of its proper divisors (622881566120).

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

468152716120 is a wasteful number, since it uses less digits than its factorization.

468152716120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288876 (or 1288872 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

Adding to 468152716120 its reverse (21617251864), we get a palindrome (489769967984).

The spelling of 468152716120 in words is "four hundred sixty-eight billion, one hundred fifty-two million, seven hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 293 310 586 620 1172 1240 1465 2344 2930 5860 9083 11720 18166 36332 45415 72664 90830 181660 363320 1288541 2577082 5154164 6442705 10308328 12885410 25770820 39944771 51541640 79889542 159779084 199723855 319558168 377542513 399447710 755085026 798895420 1510170052 1597790840 1887712565 3020340104 3775425130 7550850260 11703817903 15101700520 23407635806 46815271612 58519089515 93630543224 117038179030 234076358060 468152716120