Search a number
-
+
126355033684971 = 32713154279650409
BaseRepresentation
bin11100101110101101010010…
…111001011111101111101011
3121120101102102112211110212100
4130232231102321133233223
5113030200102110404341
61124422411235544443
735420564345215110
oct3456552271375753
9546342375743770
10126355033684971
113729596149aa33
121220855115b123
1355672c817bcb0
14232b88b040907
15e91bb74ee3b6
hex72eb52e5fbeb

126355033684971 has 24 divisors (see below), whose sum is σ = 224631170996960. Its totient is φ = 66648808976256.

The previous prime is 126355033684933. The next prime is 126355033684993. The reversal of 126355033684971 is 179486330553621.

It is a happy number.

126355033684971 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 5 + 50 + 33 + 68 + 497 + 1 = 666.

It is not a de Polignac number, because 126355033684971 - 27 = 126355033684843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 126355033684899 and 126355033684908.

It is not an unprimeable number, because it can be changed into a prime (126355033684871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77139824386 + ... + 77139826023.

It is a 1-persistent number, because it is pandigital, but 2⋅126355033684971 = 252710067369942 is not.

Almost surely, 2126355033684971 is an apocalyptic number.

126355033684971 is a deficient number, since it is larger than the sum of its proper divisors (98276137311989).

126355033684971 is a wasteful number, since it uses less digits than its factorization.

126355033684971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154279650435 (or 154279650432 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 126355033684971 in words is "one hundred twenty-six trillion, three hundred fifty-five billion, thirty-three million, six hundred eighty-four thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 154279650409 462838951227 1079957552863 1388516853681 2005635455317 3239872658589 6016906365951 9719617975767 14039448187219 18050719097853 42118344561657 126355033684971