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66400220400 = 2435255333517
BaseRepresentation
bin111101110101110000…
…101111010011110000
320100101112201200121020
4331311300233103300
52041441424023100
650300455055440
74540313363253
oct756560572360
9210345650536
1066400220400
1126184214408
1210a51371580
136352713957
1432dc8c309a
151ad95945a0
hexf75c2f4f0

66400220400 has 60 divisors (see below), whose sum is σ = 212702043192. Its totient is φ = 17706725120.

The previous prime is 66400220371. The next prime is 66400220407. The reversal of 66400220400 is 402200466.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66400220407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27665559 + ... + 27667958.

Almost surely, 266400220400 is an apocalyptic number.

66400220400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66400220400 is an abundant number, since it is smaller than the sum of its proper divisors (146301822792).

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

66400220400 is a wasteful number, since it uses less digits than its factorization.

66400220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55333538 (or 55333527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 66400220400 its reverse (402200466), we get a palindrome (66802420866).

The spelling of 66400220400 in words is "sixty-six billion, four hundred million, two hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 55333517 110667034 166000551 221334068 276667585 332001102 442668136 553335170 664002204 830002755 885336272 1106670340 1328004408 1383337925 1660005510 2213340680 2656008816 2766675850 3320011020 4150013775 4426681360 5533351700 6640022040 8300027550 11066703400 13280044080 16600055100 22133406800 33200110200 66400220400