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148013630682848 = 257919937767359
BaseRepresentation
bin100001101001111000011011…
…111000001111011011100000
3201102001222001102011101010222
4201221320123320033123200
5123400023403423322343
61242444305003542212
743114426515143420
oct4151703370173340
9642058042141128
10148013630682848
11431862568a4227
121472604952a968
136478819255b68
142879c7dd88480
15121a292e32a68
hex869e1be0f6e0

148013630682848 has 96 divisors (see below), whose sum is σ = 333749296742400. Its totient is φ = 63297679371264.

The previous prime is 148013630682833. The next prime is 148013630682857. The reversal of 148013630682848 is 848286036310841.

148013630682848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1480136306828482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192503393 + ... + 193270751.

It is an arithmetic number, because the mean of its divisors is an integer number (3476555174400).

Almost surely, 2148013630682848 is an apocalyptic number.

It is an amenable number.

148013630682848 is an abundant number, since it is smaller than the sum of its proper divisors (185735666059552).

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

148013630682848 is an equidigital number, since it uses as much as digits as its factorization.

148013630682848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769232 (or 769224 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 62.

The spelling of 148013630682848 in words is "one hundred forty-eight trillion, thirteen billion, six hundred thirty million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 919 937 1838 1874 3676 3748 6433 6559 7352 7496 12866 13118 14704 14992 25732 26236 29408 29984 51464 52472 102928 104944 205856 209888 767359 861103 1534718 1722206 3069436 3444412 5371513 6027721 6138872 6888824 10743026 12055442 12277744 13777648 21486052 24110884 24555488 27555296 42972104 48221768 85944208 96443536 171888416 192887072 705202921 719015383 1410405842 1438030766 2820811684 2876061532 4936420447 5033107681 5641623368 5752123064 9872840894 10066215362 11283246736 11504246128 19745681788 20132430724 22566493472 23008492256 39491363576 40264861448 78982727152 80529722896 157965454304 161059445792 660775136977 1321550273954 2643100547908 4625425958839 5286201095816 9250851917678 10572402191632 18501703835356 21144804383264 37003407670712 74006815341424 148013630682848