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14193533052 = 22324382711087
BaseRepresentation
bin11010011100000000…
…00010000001111100
31100122011122012000100
431032000002001330
5213032021024202
610304224401100
71011505016556
oct151600020174
940564565010
1014193533052
116023974506
122901476190
13145274078a
149890944d6
1558111141c
hex34e00207c

14193533052 has 72 divisors (see below), whose sum is σ = 36760179456. Its totient is φ = 4615146144.

The previous prime is 14193533023. The next prime is 14193533069. The reversal of 14193533052 is 25033539141.

It is a super-3 number, since 3×141935330523 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14193532998 and 14193533016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274653 + ... + 1285739.

It is an arithmetic number, because the mean of its divisors is an integer number (510558048).

Almost surely, 214193533052 is an apocalyptic number.

14193533052 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 14193533052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18380089728).

14193533052 is an abundant number, since it is smaller than the sum of its proper divisors (22566646404).

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

14193533052 is a wasteful number, since it uses less digits than its factorization.

14193533052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 14193533052 in words is "fourteen billion, one hundred ninety-three million, five hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 827 1548 1654 2481 3308 4962 7443 9924 11087 14886 22174 29772 33261 35561 44348 66522 71122 99783 106683 133044 142244 199566 213366 320049 399132 426732 476741 640098 953482 1280196 1430223 1906964 2860446 4290669 5720892 8581338 9168949 17162676 18337898 27506847 36675796 55013694 82520541 110027388 165041082 330082164 394264807 788529614 1182794421 1577059228 2365588842 3548383263 4731177684 7096766526 14193533052