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12296158400 = 265249915401
BaseRepresentation
bin10110111001110100…
…00111110011000000
31011201221101120022002
423130322013303000
5200140304032100
65352045203132
7613465423211
oct133472076300
934657346262
1012296158400
11523a951889
122471b604a8
13120c618b96
148490b1408
154be7712d5
hex2dce87cc0

12296158400 has 84 divisors (see below), whose sum is σ = 30318837000. Its totient is φ = 4908288000.

The previous prime is 12296158373. The next prime is 12296158411. The reversal of 12296158400 is 485169221.

12296158400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122961584002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790700 + ... + 806100.

Almost surely, 212296158400 is an apocalyptic number.

12296158400 is a gapful number since it is divisible by the number (10) 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 12296158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159418500).

12296158400 is an abundant number, since it is smaller than the sum of its proper divisors (18022678600).

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

12296158400 is a wasteful number, since it uses less digits than its factorization.

12296158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15922 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 12296158400 in words is "twelve billion, two hundred ninety-six million, one hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 499 800 998 1600 1996 2495 3992 4990 7984 9980 12475 15401 15968 19960 24950 30802 31936 39920 49900 61604 77005 79840 99800 123208 154010 159680 199600 246416 308020 385025 399200 492832 616040 770050 798400 985664 1232080 1540100 2464160 3080200 4928320 6160400 7685099 12320800 15370198 24641600 30740396 38425495 61480792 76850990 122961584 153701980 192127475 245923168 307403960 384254950 491846336 614807920 768509900 1229615840 1537019800 2459231680 3074039600 6148079200 12296158400