Search a number
-
+
1072272515327 = 132107154938281
BaseRepresentation
bin11111001101010000110…
…11000010000011111111
310210111201111220121022222
433212220123002003333
5120032003230442302
62140332321155555
7140316624665546
oct17465033020377
93714644817288
101072272515327
11383825976402
12153991a8bbbb
137a165484200
1439c80bb515d
151cd5b619da2
hexf9a86c20ff

1072272515327 has 24 divisors (see below), whose sum is σ = 1172738444400. Its totient is φ = 979881027840.

The previous prime is 1072272515323. The next prime is 1072272515351. The reversal of 1072272515327 is 7235152722701.

It is not a de Polignac number, because 1072272515327 - 22 = 1072272515323 is a prime.

It is a super-2 number, since 2×10722725153272 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072272515323) 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, 27991427 + ... + 28029707.

It is an arithmetic number, because the mean of its divisors is an integer number (48864101850).

Almost surely, 21072272515327 is an apocalyptic number.

1072272515327 is a deficient number, since it is larger than the sum of its proper divisors (100465929073).

1072272515327 is a wasteful number, since it uses less digits than its factorization.

1072272515327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39963 (or 39950 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 1072272515327 in words is "one trillion, seventy-two billion, two hundred seventy-two million, five hundred fifteen thousand, three hundred twenty-seven".

Divisors: 1 13 107 169 1391 1549 18083 20137 38281 165743 261781 497653 2154659 4096067 6469489 28010567 53248871 59297269 692235323 770864497 6344807783 10021238461 82482501179 1072272515327