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122621463640 = 235131291918253
BaseRepresentation
bin111001000110011001…
…1110000110001011000
3102201111200220202120101
41302030303300301120
54002112043314030
6132155335305144
711600450146354
oct1621463606130
9381450822511
10122621463640
114800468a5a5
121b92181b1b4
13b7423339a0
145d13574464
1532ca1c57ca
hex1c8ccf0c58

122621463640 has 64 divisors (see below), whose sum is σ = 297160516800. Its totient is φ = 45269632512.

The previous prime is 122621463631. The next prime is 122621463661. The reversal of 122621463640 is 46364126221.

122621463640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122621463640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6708754 + ... + 6727006.

It is an arithmetic number, because the mean of its divisors is an integer number (4643133075).

Almost surely, 2122621463640 is an apocalyptic number.

122621463640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122621463640 is an abundant number, since it is smaller than the sum of its proper divisors (174539053160).

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

122621463640 is a wasteful number, since it uses less digits than its factorization.

122621463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31196 (or 31192 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 122621463640 its reverse (46364126221), we get a palindrome (168985589861).

The spelling of 122621463640 in words is "one hundred twenty-two billion, six hundred twenty-one million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 12919 18253 25838 36506 51676 64595 73012 91265 103352 129190 146024 167947 182530 237289 258380 335894 365060 474578 516760 671788 730120 839735 949156 1186445 1343576 1679470 1898312 2372890 3358940 4745780 6717880 9491560 235810507 471621014 943242028 1179052535 1886484056 2358105070 3065536591 4716210140 6131073182 9432420280 12262146364 15327682955 24524292728 30655365910 61310731820 122621463640