Search a number
-
+
271456418357072 = 241310712196999387
BaseRepresentation
bin111101101110001101011111…
…011000110101111101010000
31022121010222110112100010011022
4331232031133120311331100
5241040020221044411242
62401201205040535012
7111115036050620624
oct7556153730657520
91277128415303138
10271456418357072
1179549025343443
12265420a5321468
13b8612cc2a6190
144b067bc9b7184
15215b30ecb00d2
hexf6e35f635f50

271456418357072 has 40 divisors (see below), whose sum is σ = 571697755314336. Its totient is φ = 124116665751936.

The previous prime is 271456418357071. The next prime is 271456418357087. The reversal of 271456418357072 is 270753814654172.

It is a junction number, because it is equal to n+sod(n) for n = 271456418356996 and 271456418357014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271456418357071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6098477438 + ... + 6098521949.

Almost surely, 2271456418357072 is an apocalyptic number.

It is an amenable number.

271456418357072 is an abundant number, since it is smaller than the sum of its proper divisors (300241336957264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271456418357072 is a wasteful number, since it uses less digits than its factorization.

271456418357072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196999515 (or 12196999509 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 62.

The spelling of 271456418357072 in words is "two hundred seventy-one trillion, four hundred fifty-six billion, four hundred eighteen million, three hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 856 1391 1712 2782 5564 11128 22256 12196999387 24393998774 48787997548 97575995096 158560992031 195151990192 317121984062 634243968124 1268487936248 1305078934409 2536975872496 2610157868818 5220315737636 10440631475272 16966026147317 20881262950544 33932052294634 67864104589268 135728209178536 271456418357072