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148175414336 = 2637411579721
BaseRepresentation
bin1000100111111111110…
…0010110010001000000
3112011110121011221212202
42021333330112101000
54411430401224321
6152023145212332
713463632145345
oct2117774262100
9464417157782
10148175414336
1157928181a14
12248737910a8
1310c85561981
1472593187cc
153cc381b70b
hex227ff16440

148175414336 has 112 divisors (see below), whose sum is σ = 311350316592. Its totient is φ = 69872025600.

The previous prime is 148175414269. The next prime is 148175414347. The reversal of 148175414336 is 633414571841.

It can be written as a sum of positive squares in 8 ways, for example, as 30976000000 + 117199414336 = 176000^2 + 342344^2 .

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, 15237956 + ... + 15247676.

It is an arithmetic number, because the mean of its divisors is an integer number (2779913541).

Almost surely, 2148175414336 is an apocalyptic number.

148175414336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148175414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675158296).

148175414336 is an abundant number, since it is smaller than the sum of its proper divisors (163174902256).

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

148175414336 is a wasteful number, since it uses less digits than its factorization.

148175414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9968 (or 9958 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The spelling of 148175414336 in words is "one hundred forty-eight billion, one hundred seventy-five million, four hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 157 164 296 314 328 592 628 656 1184 1256 1312 1517 2368 2512 2624 3034 5024 5809 6068 6437 9721 10048 11618 12136 12874 19442 23236 24272 25748 38884 46472 48544 51496 77768 92944 97088 102992 155536 185888 205984 238169 311072 359677 371776 398561 411968 476338 622144 719354 797122 952676 1438708 1526197 1594244 1905352 2877416 3052394 3188488 3810704 5754832 6104788 6376976 7621408 11509664 12209576 12753952 14746757 15242816 23019328 24419152 25507904 29493514 48838304 56469289 58987028 62574077 97676608 112938578 117974056 125148154 225877156 235948112 250296308 451754312 471896224 500592616 903508624 943792448 1001185232 1807017248 2002370464 2315240849 3614034496 4004740928 4630481698 9260963396 18521926792 37043853584 74087707168 148175414336