Search a number
-
+
495301611112 = 237111965964217
BaseRepresentation
bin1110011010100100100…
…01101100111001101000
31202100110102100211100021
413031102101230321220
531103334203023422
61015312144250224
750533015141510
oct7152221547150
91670412324307
10495301611112
11181068935380
127bbab610974
13379259323c9
1419d89234840
15cd3d407dc7
hex735246ce68

495301611112 has 128 divisors (see below), whose sum is σ = 1220655744000. Its totient is φ = 182537832960.

The previous prime is 495301611109. The next prime is 495301611173. The reversal of 495301611112 is 211116103594.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7680828 + ... + 7745044.

It is an arithmetic number, because the mean of its divisors is an integer number (9536373000).

Almost surely, 2495301611112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495301611112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610327872000).

495301611112 is an abundant number, since it is smaller than the sum of its proper divisors (725354132888).

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

495301611112 is a wasteful number, since it uses less digits than its factorization.

495301611112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64919 (or 64915 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 495301611112 in words is "four hundred ninety-five billion, three hundred one million, six hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 659 836 1064 1318 1463 1672 2636 2926 4613 5272 5852 7249 9226 11704 12521 14498 18452 25042 28996 36904 50084 50743 57992 64217 87647 100168 101486 128434 137731 175294 202972 256868 275462 350588 405944 449519 513736 550924 701176 706387 899038 964117 1101848 1220123 1412774 1798076 1928234 2440246 2825548 3596152 3856468 4880492 4944709 5651096 7712936 8540861 9760984 9889418 13421353 17081722 19778836 26842706 34163444 39557672 42319003 53685412 68326888 84638006 93949471 107370824 169276012 187898942 296233021 338552024 375797884 465509033 592466042 751595768 804061057 931018066 1184932084 1608122114 1862036132 2369864168 3216244228 3258563231 3724072264 5628427399 6432488456 6517126462 8844671627 11256854798 13034252924 17689343254 22513709596 26068505848 35378686508 45027419192 61912701389 70757373016 123825402778 247650805556 495301611112