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46153386137 is a prime number
BaseRepresentation
bin101010111110111101…
…001100100010011001
311102010111201221101202
4222332331030202121
51224010231324022
633111431123545
73222503211035
oct527675144231
9142114657352
1046153386137
1118634424131
128b408135b5
134476b64551
14233b9071c5
151301d1c592
hexabef4c899

46153386137 has 2 divisors, whose sum is σ = 46153386138. Its totient is φ = 46153386136.

The previous prime is 46153386109. The next prime is 46153386143. The reversal of 46153386137 is 73168335164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33455702281 + 12697683856 = 182909^2 + 112684^2 .

It is a cyclic number.

It is not a de Polignac number, because 46153386137 - 28 = 46153385881 is a prime.

It is a super-2 number, since 2×461533861372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46153386091 and 46153386100.

It is not a weakly prime, because it can be changed into another prime (46153386187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23076693068 + 23076693069.

It is an arithmetic number, because the mean of its divisors is an integer number (23076693069).

Almost surely, 246153386137 is an apocalyptic number.

It is an amenable number.

46153386137 is a deficient number, since it is larger than the sum of its proper divisors (1).

46153386137 is an equidigital number, since it uses as much as digits as its factorization.

46153386137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1088640, while the sum is 47.

The spelling of 46153386137 in words is "forty-six billion, one hundred fifty-three million, three hundred eighty-six thousand, one hundred thirty-seven".