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12148891880448 = 210336371087357
BaseRepresentation
bin1011000011001010001001…
…1000101000110000000000
31121000102102011102022102010
42300302202120220300000
53043021412310133243
641501042431452520
72362504603062351
oct260624230506000
947012364368363
1012148891880448
113964352822374
121442653387140
136a18355076ab
1430001c119d28
151610495b3433
hexb0ca2628c00

12148891880448 has 88 divisors (see below), whose sum is σ = 32390159211952. Its totient is φ = 4048513449984.

The previous prime is 12148891880441. The next prime is 12148891880471. The reversal of 12148891880448 is 84408819884121.

It is not an unprimeable number, because it can be changed into a prime (12148891880441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10629186 + ... + 11716542.

Almost surely, 212148891880448 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 12148891880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195079605976).

12148891880448 is an abundant number, since it is smaller than the sum of its proper divisors (20241267331504).

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

12148891880448 is a wasteful number, since it uses less digits than its factorization.

12148891880448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091017 (or 1090999 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 66.

The spelling of 12148891880448 in words is "twelve trillion, one hundred forty-eight billion, eight hundred ninety-one million, eight hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3637 7274 10911 14548 21822 29096 43644 58192 87288 116384 174576 232768 349152 465536 698304 931072 1087357 1396608 1862144 2174714 2793216 3262071 3724288 4349428 5586432 6524142 8698856 11172864 13048284 17397712 26096568 34795424 52193136 69590848 104386272 139181696 208772544 278363392 417545088 556726784 835090176 1113453568 1670180352 3340360704 3954717409 7909434818 11864152227 15818869636 23728304454 31637739272 47456608908 63275478544 94913217816 126550957088 189826435632 253101914176 379652871264 506203828352 759305742528 1012407656704 1518611485056 2024815313408 3037222970112 4049630626816 6074445940224 12148891880448