Search a number
-
+
377346804157 is a prime number
BaseRepresentation
bin1010111110110111001…
…11110100100110111101
31100001222221120210021101
411133123213310212331
522140301240213112
6445203431333101
736156001625161
oct5373347644675
91301887523241
10377346804157
11136039485044
1261170821191
132977838684b
141439978cca1
159c37c90757
hex57db9f49bd

377346804157 has 2 divisors, whose sum is σ = 377346804158. Its totient is φ = 377346804156.

The previous prime is 377346804103. The next prime is 377346804169. The reversal of 377346804157 is 751408643773.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287388199396 + 89958604761 = 536086^2 + 299931^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-377346804157 is a prime.

It is a super-3 number, since 3×3773468041573 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 377346804098 and 377346804107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (377346894157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 188673402078 + 188673402079.

It is an arithmetic number, because the mean of its divisors is an integer number (188673402079).

Almost surely, 2377346804157 is an apocalyptic number.

It is an amenable number.

377346804157 is a deficient number, since it is larger than the sum of its proper divisors (1).

377346804157 is an equidigital number, since it uses as much as digits as its factorization.

377346804157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 377346804157 in words is "three hundred seventy-seven billion, three hundred forty-six million, eight hundred four thousand, one hundred fifty-seven".