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12948252263424 = 21032374832
BaseRepresentation
bin1011110001101011111111…
…1110100000010000000000
31200211211200222000010210100
42330122333332200100000
53144121010034412144
643312202303002400
72504323522163622
oct274327776402000
950754628003710
1012948252263424
11414236092a355
12155155b599400
1372c026ac704a
1432a9ad544c12
15176c3165e269
hexbc6bffa0400

12948252263424 has 99 divisors (see below), whose sum is σ = 37388794902303. Its totient is φ = 4315968940032.

The previous prime is 12948252263417. The next prime is 12948252263431. The reversal of 12948252263424 is 42436225284921.

The square root of 12948252263424 is 3598368.

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

12948252263424 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 82 + 522 + 6 + 34 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12948252263417) and next prime (12948252263431).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 345424587 + ... + 345462069.

Almost surely, 212948252263424 is an apocalyptic number.

12948252263424 is the 3598368-th square number.

It is an amenable number.

12948252263424 is an abundant number, since it is smaller than the sum of its proper divisors (24440542638879).

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

12948252263424 is an frugal number, since it uses more digits than its factorization.

12948252263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74992 (or 37488 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 12948252263424 in words is "twelve trillion, nine hundred forty-eight billion, two hundred fifty-two million, two hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 37483 74966 112449 149932 224898 299864 337347 449796 599728 674694 899592 1199456 1349388 1799184 2398912 2698776 3598368 4797824 5397552 7196736 9595648 10795104 14393472 19191296 21590208 28786944 38382592 43180416 57573888 86360832 115147776 172721664 345443328 1404975289 2809950578 4214925867 5619901156 8429851734 11239802312 12644777601 16859703468 22479604624 25289555202 33719406936 44959209248 50579110404 67438813872 89918418496 101158220808 134877627744 179836836992 202316441616 269755255488 359673673984 404632883232 539510510976 719347347968 809265766464 1079021021952 1438694695936 1618531532928 2158042043904 3237063065856 4316084087808 6474126131712 12948252263424