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16121014452 = 22325367126107
BaseRepresentation
bin11110000001110001…
…10010100010110100
31112121111112101102100
433000320302202310
5231003434430302
611223401142100
71110331235064
oct170070624264
945544471370
1016121014452
11692298a844
12315aa8a930
13169bb76b0a
14acd0733a4
1564544bd1c
hex3c0e328b4

16121014452 has 72 divisors (see below), whose sum is σ = 42139240416. Its totient is φ = 5193549504.

The previous prime is 16121014451. The next prime is 16121014453. The reversal of 16121014452 is 25441012161.

16121014452 is a `hidden beast` number, since 1 + 6 + 1 + 210 + 1 + 445 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16121014451) and next prime (16121014453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121014451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64783 + ... + 190889.

It is an arithmetic number, because the mean of its divisors is an integer number (585267228).

Almost surely, 216121014452 is an apocalyptic number.

16121014452 is a gapful number since it is divisible by the number (12) 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 16121014452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21069620208).

16121014452 is an abundant number, since it is smaller than the sum of its proper divisors (26018225964).

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

16121014452 is a wasteful number, since it uses less digits than its factorization.

16121014452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126237 (or 126232 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 1612 and 1014452, that added together give a square (1016064 = 10082).

The spelling of 16121014452 in words is "sixteen billion, one hundred twenty-one million, fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 67 106 134 159 201 212 268 318 402 477 603 636 804 954 1206 1908 2412 3551 7102 10653 14204 21306 31959 42612 63918 126107 127836 252214 378321 504428 756642 1134963 1513284 2269926 4539852 6683671 8449169 13367342 16898338 20051013 25347507 26734684 33796676 40102026 50695014 60153039 76042521 80204052 101390028 120306078 152085042 240612156 304170084 447805957 895611914 1343417871 1791223828 2686835742 4030253613 5373671484 8060507226 16121014452