Search a number
-
+
106647374301557 is a prime number
BaseRepresentation
bin11000001111111011000110…
…110111001000100101110101
3111222121101111212211000011112
4120033323012313020211311
5102434302310310122212
61014453043303444405
731315006232341625
oct3017730667104565
9458541455730145
10106647374301557
1130a87996558061
12bb64b85a56705
134767a5bc02c2b
141c49a909a4885
15c4e2226b0422
hex60fec6dc8975

106647374301557 has 2 divisors, whose sum is σ = 106647374301558. Its totient is φ = 106647374301556.

The previous prime is 106647374301553. The next prime is 106647374301563. The reversal of 106647374301557 is 755103473746601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87263510152036 + 19383864149521 = 9341494^2 + 4402711^2 .

It is a cyclic number.

It is not a de Polignac number, because 106647374301557 - 22 = 106647374301553 is a prime.

It is a super-2 number, since 2×1066473743015572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106647374301496 and 106647374301505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106647374301553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53323687150778 + 53323687150779.

It is an arithmetic number, because the mean of its divisors is an integer number (53323687150779).

Almost surely, 2106647374301557 is an apocalyptic number.

It is an amenable number.

106647374301557 is a deficient number, since it is larger than the sum of its proper divisors (1).

106647374301557 is an equidigital number, since it uses as much as digits as its factorization.

106647374301557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44452800, while the sum is 59.

The spelling of 106647374301557 in words is "one hundred six trillion, six hundred forty-seven billion, three hundred seventy-four million, three hundred one thousand, five hundred fifty-seven".