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334264265216 = 297196837187
BaseRepresentation
bin1001101110100111011…
…00111110101000000000
31011221210110012001021222
410313103230332220000
520434033122441331
6413320415134212
733102244242320
oct4672354765000
91157713161258
10334264265216
11119840510962
1254948514368
13256a07b0b5b
141226da51280
158a6585db7b
hex4dd3b3ea00

334264265216 has 160 divisors (see below), whose sum is σ = 804747778560. Its totient is φ = 135498756096.

The previous prime is 334264265207. The next prime is 334264265261. The reversal of 334264265216 is 612562462433.

It is a super-2 number, since 2×3342642652162 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46505975 + ... + 46513161.

It is an arithmetic number, because the mean of its divisors is an integer number (5029673616).

Almost surely, 2334264265216 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 334264265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402373889280).

334264265216 is an abundant number, since it is smaller than the sum of its proper divisors (470483513344).

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

334264265216 is an equidigital number, since it uses as much as digits as its factorization.

334264265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7898 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

The spelling of 334264265216 in words is "three hundred thirty-four billion, two hundred sixty-four million, two hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 683 896 1064 1216 1366 1792 2128 2432 2732 3584 4256 4781 4864 5464 7187 8512 9562 9728 10928 12977 14374 17024 19124 21856 25954 28748 34048 38248 43712 50309 51908 57496 68096 76496 87424 90839 100618 103816 114992 136553 152992 174848 181678 201236 207632 229984 273106 305984 349696 363356 402472 415264 459968 546212 611968 726712 804944 830528 919936 955871 1092424 1223936 1453424 1609888 1661056 1839872 1911742 2184848 2447872 2906848 3219776 3322112 3679744 3823484 4369696 4908721 5813696 6439552 6644224 7646968 8739392 9817442 11627392 12879104 15293936 17478784 19634884 23254784 25758208 30587872 34361047 34957568 39269768 46509568 61175744 68722094 69915136 78539536 93265699 122351488 137444188 157079072 186531398 244702976 274888376 314158144 373062796 489405952 549776752 628316288 652859893 746125592 1099553504 1256632576 1305719786 1492251184 2199107008 2513265152 2611439572 2984502368 4398214016 5222879144 5969004736 8796428032 10445758288 11938009472 17592856064 20891516576 23876018944 41783033152 47752037888 83566066304 167132132608 334264265216