Search a number
-
+
10147563270 = 2325138673131
BaseRepresentation
bin10010111001101011…
…11000011100000110
3222012012102121212200
421130311320130012
5131240234011040
64354533255330
7506315602365
oct113465703406
928165377780
1010147563270
114338042529
121b72494546
13c59445210
146c39b57dc
153e5d0a630
hex25cd78706

10147563270 has 48 divisors (see below), whose sum is σ = 28413180432. Its totient is φ = 2497861440.

The previous prime is 10147563259. The next prime is 10147563311. The reversal of 10147563270 is 7236574101.

It is a happy number.

10147563270 is a `hidden beast` number, since 1 + 0 + 14 + 7 + 5 + 632 + 7 + 0 = 666.

10147563270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4335396 + ... + 4337735.

It is an arithmetic number, because the mean of its divisors is an integer number (591941259).

Almost surely, 210147563270 is an apocalyptic number.

10147563270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10147563270 is an abundant number, since it is smaller than the sum of its proper divisors (18265617162).

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

10147563270 is a wasteful number, since it uses less digits than its factorization.

10147563270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673157 (or 8673154 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10147563270 in words is "ten billion, one hundred forty-seven million, five hundred sixty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8673131 17346262 26019393 43365655 52038786 78058179 86731310 112750703 130096965 156116358 225501406 260193930 338252109 390290895 563753515 676504218 780581790 1014756327 1127507030 1691260545 2029512654 3382521090 5073781635 10147563270