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628141246080 = 27352314224213
BaseRepresentation
bin10010010010000000010…
…00101100011010000000
32020001100020120110211120
421021000020230122000
540242413124333310
61200321502512240
763244632332145
oct11110010543200
92201306513746
10628141246080
112224363a3267
12a18a3295680
1347305c007ca
142258b8c03cc
15115156d4b70
hex924022c680

628141246080 has 128 divisors (see below), whose sum is σ = 2089252552320. Its totient is φ = 160221523968.

The previous prime is 628141246079. The next prime is 628141246099. The reversal of 628141246080 is 80642141826.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6281412460802 (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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7067947 + ... + 7156266.

It is an arithmetic number, because the mean of its divisors is an integer number (16322285565).

Almost surely, 2628141246080 is an apocalyptic number.

628141246080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628141246080 is an abundant number, since it is smaller than the sum of its proper divisors (1461111306240).

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

628141246080 is a wasteful number, since it uses less digits than its factorization.

628141246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224258 (or 14224246 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 628141246080 in words is "six hundred twenty-eight billion, one hundred forty-one million, two hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 11040 14720 22080 44160 14224213 28448426 42672639 56896852 71121065 85345278 113793704 142242130 170690556 213363195 227587408 284484260 327156899 341381112 426726390 455174816 568968520 654313798 682762224 853452780 910349632 981470697 1137937040 1308627596 1365524448 1635784495 1706905560 1820699264 1962941394 2275874080 2617255192 2731048896 3271568990 3413811120 3925882788 4551748160 4907353485 5234510384 5462097792 6543137980 6827622240 7851765576 9103496320 9814706970 10469020768 13086275960 13655244480 15703531152 19629413940 20938041536 26172551920 27310488960 31407062304 39258827880 41876083072 52345103840 62814124608 78517655760 104690207680 125628249216 157035311520 209380415360 314070623040 628141246080