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146378697274753 is a prime number
BaseRepresentation
bin100001010010000101110010…
…010000001111010110000001
3201012021200000002111220011021
4201102011302100033112001
5123141232033000243003
61235153240054545441
742555340401363466
oct4122056220172601
9635250002456137
10146378697274753
1142705947588239
1214501209668281
13638a5b4b53658
142820aa3d6766d
1511dc9a4a742bd
hex85217240f581

146378697274753 has 2 divisors, whose sum is σ = 146378697274754. Its totient is φ = 146378697274752.

The previous prime is 146378697274687. The next prime is 146378697274763. The reversal of 146378697274753 is 357472796873641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142787395599424 + 3591301675329 = 11949368^2 + 1895073^2 .

It is a cyclic number.

It is not a de Polignac number, because 146378697274753 - 29 = 146378697274241 is a prime.

It is a super-2 number, since 2×1463786972747532 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146378697274763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73189348637376 + 73189348637377.

It is an arithmetic number, because the mean of its divisors is an integer number (73189348637377).

Almost surely, 2146378697274753 is an apocalyptic number.

It is an amenable number.

146378697274753 is a deficient number, since it is larger than the sum of its proper divisors (1).

146378697274753 is an equidigital number, since it uses as much as digits as its factorization.

146378697274753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8961684480, while the sum is 79.

The spelling of 146378697274753 in words is "one hundred forty-six trillion, three hundred seventy-eight billion, six hundred ninety-seven million, two hundred seventy-four thousand, seven hundred fifty-three".