Search a number
-
+
14947827202564 = 2217466892
BaseRepresentation
bin1101100110000100111111…
…1011100011101000000100
31221220222221210000122212121
43121201033323203220010
53424401122230440224
651442534221255324
73101642043552334
oct331411773435004
957828853018777
1014947827202564
114843379848673
121814ba5104544
13845760283cc9
1439969b7890c4
151adc62177be4
hexd984fee3a04

14947827202564 has 45 divisors (see below), whose sum is σ = 27797752370857. Its totient is φ = 7033220006912.

The previous prime is 14947827202559. The next prime is 14947827202573. The reversal of 14947827202564 is 46520272874941.

It is a happy number.

The square root of 14947827202564 is 3866242.

It is a perfect power (a square), and thus also a powerful number.

14947827202564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 438432028164 + 14509395174400 = 662142^2 + 3809120^2 .

It is a super-3 number, since 3×149478272025643 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2234684532 + ... + 2234691220.

Almost surely, 214947827202564 is an apocalyptic number.

14947827202564 is the 3866242-nd square number.

It is an amenable number.

14947827202564 is a deficient number, since it is larger than the sum of its proper divisors (12849925168293).

14947827202564 is an frugal number, since it uses more digits than its factorization.

14947827202564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 14947827202564 in words is "fourteen trillion, nine hundred forty-seven billion, eight hundred twenty-seven million, two hundred two thousand, five hundred sixty-four".

Divisors: 1 2 4 17 34 68 289 578 1156 4913 6689 9826 13378 19652 26756 83521 113713 167042 227426 334084 454852 1933121 3866242 7732484 32863057 44742721 65726114 89485442 131452228 178970884 558671969 760626257 1117343938 1521252514 2234687876 3042505028 12930646369 25861292738 51722585476 219820988273 439641976546 879283953092 3736956800641 7473913601282 14947827202564