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10156553164993 is a prime number
BaseRepresentation
bin1001001111001100000110…
…1111100101100011000001
31022221221211122122001002111
42103303001233211203001
52312401110102234433
633333504530415321
72065533566316664
oct223630157454301
938857748561074
1010156553164993
113266408532004
1211804a9131541
135889b32816b1
14271818d636db
151292ddec5dcd
hex93cc1be58c1

10156553164993 has 2 divisors, whose sum is σ = 10156553164994. Its totient is φ = 10156553164992.

The previous prime is 10156553164973. The next prime is 10156553165039. The reversal of 10156553164993 is 39946135565101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9866992945329 + 289560219664 = 3141177^2 + 538108^2 .

It is an emirp because it is prime and its reverse (39946135565101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10156553164993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10156553164963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5078276582496 + 5078276582497.

It is an arithmetic number, because the mean of its divisors is an integer number (5078276582497).

Almost surely, 210156553164993 is an apocalyptic number.

It is an amenable number.

10156553164993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10156553164993 is an equidigital number, since it uses as much as digits as its factorization.

10156553164993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122000, while the sum is 58.

The spelling of 10156553164993 in words is "ten trillion, one hundred fifty-six billion, five hundred fifty-three million, one hundred sixty-four thousand, nine hundred ninety-three".