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48295336644 = 22342924212
BaseRepresentation
bin101100111110101000…
…000101101011000100
311121122210012022010000
4230332220011223010
51242402101233034
634104144401300
73326542405512
oct547650055304
9147583168100
1048295336644
1119533505265
12943a016230
13472884c999
1424a21934b2
1513c9dbe599
hexb3ea05ac4

48295336644 has 135 divisors (see below), whose sum is σ = 131068568631. Its totient is φ = 15506406720.

The previous prime is 48295336627. The next prime is 48295336721. The reversal of 48295336644 is 44663359284.

The square root of 48295336644 is 219762.

It is a perfect power (a square), and thus also a powerful number.

48295336644 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 533 + 66 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19666696644 + 28628640000 = 140238^2 + 169200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 114715554 + ... + 114715974.

Almost surely, 248295336644 is an apocalyptic number.

48295336644 is the 219762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48295336644

48295336644 is an abundant number, since it is smaller than the sum of its proper divisors (82773231987).

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

48295336644 is an equidigital number, since it uses as much as digits as its factorization.

48295336644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 455 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 48295336644 in words is "forty-eight billion, two hundred ninety-five million, three hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 421 522 783 841 842 1044 1263 1566 1682 1684 2349 2523 2526 3132 3364 3789 4698 5046 5052 7569 7578 9396 10092 11367 12209 15138 15156 22707 22734 24418 30276 34101 36627 45414 45468 48836 68121 68202 73254 90828 109881 136242 136404 146508 177241 219762 272484 329643 354061 354482 439524 531723 659286 708122 708964 988929 1062183 1063446 1318572 1416244 1595169 1977858 2124366 2126892 3186549 3190338 3955716 4248732 4785507 5139989 6373098 6380676 9559647 9571014 10279978 12746196 14356521 15419967 19119294 19142028 20559956 28678941 28713042 30839934 38238588 46259901 57357882 57426084 61679868 92519802 114715764 138779703 149059681 185039604 277559406 298119362 416339109 447179043 555118812 596238724 832678218 894358086 1341537129 1665356436 1788716172 2683074258 4024611387 5366148516 8049222774 12073834161 16098445548 24147668322 48295336644