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33642086441 is a prime number
BaseRepresentation
bin11111010101001110…
…011000000000101001
310012211120112001201112
4133111032120000221
51022344333231231
623242134400105
72300453005445
oct372516300051
9105746461645
1033642086441
11132a4098527
12662a800035
133231abc632
1418b2031825
15d1d75092b
hex7d5398029

33642086441 has 2 divisors, whose sum is σ = 33642086442. Its totient is φ = 33642086440.

The previous prime is 33642086389. The next prime is 33642086473. The reversal of 33642086441 is 14468024633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21001806400 + 12640280041 = 144920^2 + 112429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33642086441 is a prime.

It is a super-2 number, since 2×336420864412 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33642086341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16821043220 + 16821043221.

It is an arithmetic number, because the mean of its divisors is an integer number (16821043221).

Almost surely, 233642086441 is an apocalyptic number.

It is an amenable number.

33642086441 is a deficient number, since it is larger than the sum of its proper divisors (1).

33642086441 is an equidigital number, since it uses as much as digits as its factorization.

33642086441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 33642086441 in words is "thirty-three billion, six hundred forty-two million, eighty-six thousand, four hundred forty-one".