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12279376848 = 2431929345953
BaseRepresentation
bin10110110111110100…
…00110101111010000
31011200202210222100010
423123322012233100
5200122010024343
65350245354520
7613202660334
oct133372065720
934622728303
1012279376848
11523142a632
122468408a40
131208cc167b
14846b837c4
154bd058d33
hex2dbe86bd0

12279376848 has 80 divisors (see below), whose sum is σ = 33505980480. Its totient is φ = 3864379392.

The previous prime is 12279376847. The next prime is 12279376859. The reversal of 12279376848 is 84867397221.

It is a super-3 number, since 3×122793768483 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12279376843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244240 + ... + 290192.

It is an arithmetic number, because the mean of its divisors is an integer number (418824756).

Almost surely, 212279376848 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 12279376848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752990240).

12279376848 is an abundant number, since it is smaller than the sum of its proper divisors (21226603632).

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

12279376848 is a wasteful number, since it uses less digits than its factorization.

12279376848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46276 (or 46270 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The spelling of 12279376848 in words is "twelve billion, two hundred seventy-nine million, three hundred seventy-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 293 304 456 586 879 912 1172 1758 2344 3516 4688 5567 7032 11134 14064 16701 22268 33402 44536 45953 66804 89072 91906 133608 137859 183812 267216 275718 367624 551436 735248 873107 1102872 1746214 2205744 2619321 3492428 5238642 6984856 10477284 13464229 13969712 20954568 26928458 40392687 41909136 53856916 80785374 107713832 161570748 215427664 255820351 323141496 511640702 646282992 767461053 1023281404 1534922106 2046562808 3069844212 4093125616 6139688424 12279376848