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12506148432 = 2432233776011
BaseRepresentation
bin10111010010110110…
…01010111001010000
31012021120112011110200
423221123022321100
5201103033222212
65424550055200
7621625336101
oct135133127120
935246464420
1012506148432
115338438468
12251034a500
131243c9033b
14868d343a8
154d2e006dc
hex2e96cae50

12506148432 has 60 divisors (see below), whose sum is σ = 36521588064. Its totient is φ = 3987466560.

The previous prime is 12506148419. The next prime is 12506148443. The reversal of 12506148432 is 23484160521.

It is a happy number.

12506148432 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 614 + 8 + 4 + 32 = 666.

12506148432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1884694 + ... + 1891317.

Almost surely, 212506148432 is an apocalyptic number.

12506148432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12506148432 is an abundant number, since it is smaller than the sum of its proper divisors (24015439632).

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

12506148432 is a wasteful number, since it uses less digits than its factorization.

12506148432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776048 (or 3776039 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12506148432 in words is "twelve billion, five hundred six million, one hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 3776011 7552022 11328033 15104044 22656066 30208088 33984099 45312132 60416176 67968198 86848253 90624264 135936396 173696506 181248528 260544759 271872792 347393012 521089518 543745584 694786024 781634277 1042179036 1389572048 1563268554 2084358072 3126537108 4168716144 6253074216 12506148432