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46757357710397 is a prime number
BaseRepresentation
bin10101010000110100010111…
…01100100110110000111101
320010112221220122121112202222
422220122023230212300331
522112033032033213042
6243240011131255125
712564051624633005
oct1250321354466075
9203487818545688
1046757357710397
1113997758513964
1252b1a805aa4a5
13201227a2929a9
14b790d5173005
155613ed5292d2
hex2a868bb26c3d

46757357710397 has 2 divisors, whose sum is σ = 46757357710398. Its totient is φ = 46757357710396.

The previous prime is 46757357710339. The next prime is 46757357710403. The reversal of 46757357710397 is 79301775375764.

46757357710397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42120372580441 + 4636985129956 = 6490021^2 + 2153366^2 .

It is a cyclic number.

It is not a de Polignac number, because 46757357710397 - 218 = 46757357448253 is a prime.

It is a super-2 number, since 2×467573577103972 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46757357710397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46757357710307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23378678855198 + 23378678855199.

It is an arithmetic number, because the mean of its divisors is an integer number (23378678855199).

Almost surely, 246757357710397 is an apocalyptic number.

It is an amenable number.

46757357710397 is a deficient number, since it is larger than the sum of its proper divisors (1).

46757357710397 is an equidigital number, since it uses as much as digits as its factorization.

46757357710397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816820200, while the sum is 71.

The spelling of 46757357710397 in words is "forty-six trillion, seven hundred fifty-seven billion, three hundred fifty-seven million, seven hundred ten thousand, three hundred ninety-seven".