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12296148544 = 268321672
BaseRepresentation
bin10110111001110100…
…00101011001000000
31011201221101001210001
423130322011121000
5200140303223134
65352045045344
7613465352401
oct133472053100
934657331701
1012296148544
11523a945439
122471b56854
13120c614554
148490ab9a8
154be76d414
hex2dce85640

12296148544 has 63 divisors (see below), whose sum is σ = 24846465547. Its totient is φ = 6037629824.

The previous prime is 12296148521. The next prime is 12296148589. The reversal of 12296148544 is 44584169221.

The square root of 12296148544 is 110888.

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

It is a super-2 number, since 2×122961485442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (552960) is a multiple of the sum of its prime factors (512).

It is a junction number, because it is equal to n+sod(n) for n = 12296148494 and 12296148503.

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, 73629549 + ... + 73629715.

Almost surely, 212296148544 is an apocalyptic number.

12296148544 is the 110888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12296148544

12296148544 is an abundant number, since it is smaller than the sum of its proper divisors (12550317003).

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

12296148544 is an frugal number, since it uses more digits than its factorization.

12296148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 252 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The spelling of 12296148544 in words is "twelve billion, two hundred ninety-six million, one hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 166 167 332 334 664 668 1328 1336 2656 2672 5312 5344 6889 10688 13778 13861 27556 27722 27889 55112 55444 55778 110224 110888 111556 220448 221776 223112 440896 443552 446224 887104 892448 1150463 1784896 2300926 2314787 4601852 4629574 9203704 9259148 18407408 18518296 36814816 37036592 73629632 74073184 148146368 192127321 384254642 768509284 1537018568 3074037136 6148074272 12296148544