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16144232052 = 223133727110321
BaseRepresentation
bin11110000100100010…
…10110111001110100
31112200010012221222110
433002101112321310
5231030410411202
611225550531020
71111032464634
oct170221267164
945603187873
1016144232052
116934aa8543
123166806a70
1316a3915940
14ad21986c4
156474d626c
hex3c2456e74

16144232052 has 96 divisors (see below), whose sum is σ = 41821771264. Its totient is φ = 4814899200.

The previous prime is 16144231997. The next prime is 16144232063. The reversal of 16144232052 is 25023244161.

16144232052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1559052 + ... + 1569372.

Almost surely, 216144232052 is an apocalyptic number.

16144232052 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 16144232052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20910885632).

16144232052 is an abundant number, since it is smaller than the sum of its proper divisors (25677539212).

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

16144232052 is a wasteful number, since it uses less digits than its factorization.

16144232052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 16144232052 in words is "sixteen billion, one hundred forty-four million, two hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 271 444 481 542 813 962 1084 1443 1626 1924 2886 3252 3523 5772 7046 10027 10321 10569 14092 20054 20642 21138 30081 30963 40108 41284 42276 60162 61926 120324 123852 130351 134173 260702 268346 381877 391053 402519 521404 536692 763754 782106 805038 1145631 1527508 1564212 1610076 2291262 2796991 4582524 4964401 5593982 8390973 9928802 11187964 14893203 16781946 19857604 29786406 33563892 36360883 59572812 72721766 103488667 109082649 145443532 206977334 218165298 310466001 413954668 436330596 620932002 1241864004 1345352671 2690705342 4036058013 5381410684 8072116026 16144232052