Search a number
-
+
36400673097 = 3215744815749
BaseRepresentation
bin100001111001101001…
…100011000101001001
310110221211021210012200
4201321221203011021
51044022033014342
624420000430413
72426020421235
oct417151430511
9113854253180
1036400673097
111448a25a508
12707a618409
133581479929
141a945555c5
15e30a0994c
hex879a63149

36400673097 has 24 divisors (see below), whose sum is σ = 52934661000. Its totient is φ = 24102973440.

The previous prime is 36400673077. The next prime is 36400673123. The reversal of 36400673097 is 79037600463.

It can be written as a sum of positive squares in 4 ways, for example, as 438860601 + 35961812496 = 20949^2 + 189636^2 .

It is not a de Polignac number, because 36400673097 - 26 = 36400673033 is a prime.

It is a super-3 number, since 3×364006730973 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36400673077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6328779 + ... + 6334527.

It is an arithmetic number, because the mean of its divisors is an integer number (2205610875).

Almost surely, 236400673097 is an apocalyptic number.

It is an amenable number.

36400673097 is a deficient number, since it is larger than the sum of its proper divisors (16533987903).

36400673097 is a wasteful number, since it uses less digits than its factorization.

36400673097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 36400673097 in words is "thirty-six billion, four hundred million, six hundred seventy-three thousand, ninety-seven".

Divisors: 1 3 9 157 471 1413 4481 5749 13443 17247 40329 51741 703517 902593 2110551 2707779 6331653 8123337 25761269 77283807 231851421 4044519233 12133557699 36400673097