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314752836920 = 235173194715767
BaseRepresentation
bin1001001010010001011…
…10110010010100111000
31010002102122222210102112
410211020232302110320
520124103211240140
6400332341351452
731511603653604
oct4451056622470
91102378883375
10314752836920
11111538853005
1251002108588
13238b13b9602
141133c5c8504
1582c294ec65
hex4948bb2538

314752836920 has 128 divisors (see below), whose sum is σ = 774907637760. Its totient is φ = 114544404480.

The previous prime is 314752836911. The next prime is 314752837037. The reversal of 314752836920 is 29638257413.

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 31 ways as a sum of consecutive naturals, for example, 19954877 + ... + 19970643.

It is an arithmetic number, because the mean of its divisors is an integer number (6053965920).

It is a 1-persistent number, because it is pandigital, but 2⋅314752836920 = 629505673840 is not.

Almost surely, 2314752836920 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 314752836920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387453818880).

314752836920 is an abundant number, since it is smaller than the sum of its proper divisors (460154800840).

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

314752836920 is a wasteful number, since it uses less digits than its factorization.

314752836920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16773 (or 16769 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 314752836920 in words is "three hundred fourteen billion, seven hundred fifty-two million, eight hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 947 1054 1240 1894 2108 2635 3788 4216 4735 5270 7576 9470 10540 15767 16099 18940 21080 29357 31534 32198 37880 58714 63068 64396 78835 80495 117428 126136 128792 146785 157670 160990 234856 268039 293570 315340 321980 488777 499069 536078 587140 630680 643960 977554 998138 1072156 1174280 1340195 1955108 1996276 2144312 2443885 2495345 2680390 3910216 3992552 4887770 4990690 5360780 8309209 9775540 9981380 10721560 14931349 16618418 19551080 19962760 29862698 33236836 41546045 59725396 66473672 74656745 83092090 119450792 149313490 166184180 253832933 298626980 332368360 462871819 507665866 597253960 925743638 1015331732 1269164665 1851487276 2030663464 2314359095 2538329330 3702974552 4628718190 5076658660 7868820923 9257436380 10153317320 15737641846 18514872760 31475283692 39344104615 62950567384 78688209230 157376418460 314752836920