Search a number
-
+
14506856568 = 23331713728837
BaseRepresentation
bin11011000001010110…
…10001000001111000
31101110000012200002000
431200223101001320
5214202223402233
610355300141000
71022331150321
oct154053210170
941400180060
1014506856568
116174819066
12298a397760
1314a2624ac9
149b8935448
1559d8a2d13
hex360ad1078

14506856568 has 128 divisors (see below), whose sum is σ = 42980155200. Its totient is φ = 4517793792.

The previous prime is 14506856563. The next prime is 14506856579. The reversal of 14506856568 is 86565860541.

14506856568 is a `hidden beast` number, since 1 + 4 + 506 + 85 + 6 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14506856563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488646 + ... + 517482.

Almost surely, 214506856568 is an apocalyptic number.

14506856568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14506856568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490077600).

14506856568 is an abundant number, since it is smaller than the sum of its proper divisors (28473298632).

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

14506856568 is a wasteful number, since it uses less digits than its factorization.

14506856568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29006 (or 28996 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 14506856568 in words is "fourteen billion, five hundred six million, eight hundred fifty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 137 153 204 216 274 306 408 411 459 548 612 822 918 1096 1224 1233 1644 1836 2329 2466 3288 3672 3699 4658 4932 6987 7398 9316 9864 13974 14796 18632 20961 27948 28837 29592 41922 55896 57674 62883 83844 86511 115348 125766 167688 173022 230696 251532 259533 346044 490229 503064 519066 692088 778599 980458 1038132 1470687 1557198 1960916 2076264 2941374 3114396 3921832 3950669 4412061 5882748 6228792 7901338 8824122 11765496 11852007 13236183 15802676 17648244 23704014 26472366 31605352 35296488 35556021 47408028 52944732 67161373 71112042 94816056 105889464 106668063 134322746 142224084 201484119 213336126 268645492 284448168 402968238 426672252 537290984 604452357 805936476 853344504 1208904714 1611872952 1813357071 2417809428 3626714142 4835618856 7253428284 14506856568