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14355525080 = 23513122322573
BaseRepresentation
bin11010101111010011…
…11110110111011000
31101001110110020022002
431113221332313120
5213400003300310
610332252420132
71015512643541
oct152751766730
941043406262
1014355525080
1160a7357516
122947777648
13147a17ab50
149a27c14c8
1559045dda5
hex357a7edd8

14355525080 has 64 divisors (see below), whose sum is σ = 34814525760. Its totient is φ = 5295932928.

The previous prime is 14355525073. The next prime is 14355525109. The reversal of 14355525080 is 8052555341.

It is a super-2 number, since 2×143555250802 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624674 + ... + 647246.

It is an arithmetic number, because the mean of its divisors is an integer number (543976965).

Almost surely, 214355525080 is an apocalyptic number.

14355525080 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 14355525080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17407262880).

14355525080 is an abundant number, since it is smaller than the sum of its proper divisors (20459000680).

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

14355525080 is a wasteful number, since it uses less digits than its factorization.

14355525080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23820 (or 23816 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 14355525080 in words is "fourteen billion, three hundred fifty-five million, five hundred twenty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1223 2446 4892 6115 9784 12230 15899 22573 24460 31798 45146 48920 63596 79495 90292 112865 127192 158990 180584 225730 293449 317980 451460 586898 635960 902920 1173796 1467245 2347592 2934490 5868980 11737960 27606779 55213558 110427116 138033895 220854232 276067790 358888127 552135580 717776254 1104271160 1435552508 1794440635 2871105016 3588881270 7177762540 14355525080